Math question: Find the sum of all even numbers less than 1409 that are divisible by either 7 or 9.

To find the sum, we first determine the number of even numbers satisfying the given condition. For divisibility by 7, we simply divide the greatest multiple of 7 that is less than 1409, which is 1407, by 7 (giving 201 multiples). Similarly, for divisibility by 9, we divide the greatest multiple of 9, which is 1404, by 9 (yielding 156 multiples). However, we must exclude common multiples of 7 and 9. The least common multiple of 7 and 9 is 63, so we divide 1404 by 63, obtaining 22 multiples. Hence, the number of even numbers satisfying the condition is 201 + 156 - 22 = 335. Next, we find the sum of these numbers using the arithmetic series formula: Sum = (n/2)(first term + last term), where n is the number of terms. The first term is 56 (the first even multiple of 7), and the last term is 1402 (the last even multiple of 7 or 9). Thus, the sum is (335/2)(56 + 1402) = 234,555. Therefore, the sum of all even numbers less than 1409 that are divisible by either 7 or 9 is 234,555.

Math question: Solve for x: If x is squared and then multiplied by 4, the result is equal to 1409.

To solve for x, we need to reverse the operations that were applied to it. We start by dividing 1409 by 4, which gives us 352.25. As we are looking for a squared value, the square root of 352.25 is required. So x = √352.25, which simplifies to x ≈ 18.78 (rounded to two decimal places). Explanation: By dividing 1409 by 4, we can determine the value that x^2 would simplify to. This yields 352.25. To find the value of x, we need to take the square root of 352.25. This helps us identify two possible answers, -18.78 and 18.78, as squaring either of these values will equate to 1409. However, the question does not specify whether x should be a positive or negative value, so both options remain valid solutions to the equation.

Math question: What is the largest prime factor of 1409?

To find the largest prime factor of 1409, we start by checking if it's divisible by 2, but it's not. Then, we divide 1409 by the next prime number, 3, and we get 469 with a remainder. Continuing, we try 5, 7, 11, 13, 17, and 19 but none divide 1409 evenly. The next prime, 23, divides 1409 exactly 61 times, leaving a quotient of 61. So, 1409 = 23 × 61. Since 61 is a prime number, it is the largest prime factor of 1409.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

1409 (number)

1409 is an odd 4-digits prime number following 1408 and preceding 1410. In scientific notation, it is written as 1.409 × 10^3. The sum of its digits is 14. It has a total of 1 prime factors and 2 positive divisors. There are 1408 positive integers (up to 1409) that are relatively prime to 1409.

Interesting facts

1409 has 2 divisors, whose sum is 1410
The reverse of 1409 is 9041
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 4
Sum of Digits 14
Digital Root 5

Name

Name	one thousand four hundred nine

Notation

Scientific notation	1.409 × 10^3
Engineering notation	1.409 × 10^3

Prime Factorization of 1409

Prime Factorization 1409

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	1409	Product of the distinct prime numbers

The prime factorization of 1409 is 1409. Since it has a total of 1 prime factors.

Most popular turbo-numbers

2, 2, 66, 52, 718, 344, 6076, 2093, 33975, 15573, 925807, 385547, 7026860, 7056527, 22578955, 68316432, 787854008, 973269566, 1566613288, 6967869095

Basic calculations (n = 1409)

Multiplication

n×y

n×2	2818
n×3	4227
n×4	5636
n×5	7045

Division

n÷y

n÷2	704.5
n÷3	469.66666666667
n÷3	352.25
n÷5	281.8

Exponentiation

n^y

n²	1985281
n³	2797260929
n⁴	3941340648961
n⁵	5553348974386049

Nth Root

^y√n

²√n	37.536648758247
³√n	11.210810141022
⁴√n	6.1267159847872
⁵√n	4.2636564016056

Divisors of 1409

1, 1409

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	1410	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	705	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	37.549966711037	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9985815602837	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1409 can be divided by 2 positive divisors. The sum of these divisors (counting 1409) is 1410, the average is 705.

Base conversion 1409

Base	System	Value
2	Binary	10110000001
3	Ternary	1221012
4	Quaternary	112001
5	Quinary	21114
6	Senary	10305
8	Octal	2601
10	Decimal	1409
12	Duodecimal	995
16	Hexadecimal	581
20	Vigesimal	3a9
36	Base36	135

Cryptographic Hash Functions

md5	7b5b23f4aadf9513306bcd59afb6e4c9
sha1	62634625ada7c706b0be053ed4469260300d5658
sha256	efe8564971192c24d29c7aedb7c5230aeaf13dbac7815bb7bd2206bdcc483350
sha512	63d1a1fedea606170e37fc9343ff8e946df63db5a8a46ccc7324240ea8df8a752b76310412f6d0f247cd937449921e24f059094f69e274dcdf0df3fcee4ab636
ripemd-160	9077e915ef4f8fc4920792c3f55f54d66aad2b09

1409 as geometric shapes

Circle

Radius = n

Diameter	2818
Circumference	8853.008097816
Area	6236944.2049114

Sphere

Radius = n

Volume	11717139179.627
Surface area	24947776.819646
Circumference	8853.008097816

Square

Length = n

Perimeter	5636
Area	1985281
Diagonal	1992.6269093837

Cube

Length = n

Surface area	11911686
Volume	2797260929
Space diagonal	2440.4595878645

Equilateral Triangle

Length = n

Perimeter	4227
Area	859651.88982529
Altitude	1220.2297939323

Triangular Pyramid

Length = n

Surface area	859651.88982529
Volume	329660361.94068
Height	664.20896979456