Question: The number 3340 is divisible by integers a, b, and c. If the sum of these divisors is 154 and the product of a and b is 560, what is the value of c?

To find the value of c, we need to determine the prime factorization of 560, which is 2^4 * 5 * 7. The divisors of 3340 can be expressed as a * b * c, where a = 2^i * 5^j * 7^k, b = 2^m * 5^n * 7^p, and c = 2^q * 5^r * 7^s. Given the sum of divisors is 154, we have (2^i * 5^j * 7^k) + (2^m * 5^n * 7^p) + (2^q * 5^r * 7^s) = 154. As the product of a and b is 560, we know that i + m + q = 4, j + n + r = 1, and k + p + s = 1. Solving these equations, we have i = 3, j = 0, k = 1, m = 1, q = 0, n = 0, r = 1, p = 0, and s = 0. Therefore, c = 2^0 * 5^0 * 7^0 = 1. The value of c for which the number 3340 is divisible is 1.

Math question: Find the square root of the sum of 3340 and the quotient of 3340 divided by the difference between the cube root of 3340 and 10.

To solve the question, firstly, calculate the cube root of 3340, which equals 14.857. Next, find the difference between this value and 10, resulting in 4.857. Now, divide 3340 by 4.857, yielding 687.068. Add this quotient to 3340, obtaining 4027.068. Finally, find the square root of this sum, which is equal to 63.437. Hence, the answer is 63.437.

Math Question: What is the result when the number 3340 is multiplied by 27 and then divided by 5, and the quotient is added to 1539?

To solve this, we first multiply 3340 by 27, giving us 90,180. Then we divide this result by 5, yielding 18,036. Next, we add 18,036 to 1539, resulting in 19,575. Therefore, the final answer is 19,575 when the number 3340 is multiplied by 27 and then divided by 5, and the quotient is added to 1539.

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

3340 (number)

3340 is an even 4-digits composite number following 3339 and preceding 3341. In scientific notation, it is written as 3.340 × 10^3. The sum of its digits is 10. It has a total of 4 prime factors and 12 positive divisors. There are 1328 positive integers (up to 3340) that are relatively prime to 3340.

Interesting facts

3340 has 12 divisors, whose sum is 7056
The reverse of 3340 is 0433
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 10
Digital Root 1

Name

Name	three thousand three hundred forty

Notation

Scientific notation	3.340 × 10^3
Engineering notation	3.340 × 10^3

Prime Factorization of 3340

Prime Factorization 2 × 2 × 5 × 167

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	1670	Product of the distinct prime numbers

The prime factorization of 3340 is 2 × 2 × 5 × 167. Since it has a total of 4 prime factors.

Most popular turbo-numbers

1, 6, 36, 54, 79, 228, 7927, 4363, 9161, 78999, 712720, 384813, 2835432, 5007190, 96926564, 13375693, 291352792, 651945303, 3021615371, 9545342208

Basic calculations (n = 3340)

Multiplication

n×y

n×2	6680
n×3	10020
n×4	13360
n×5	16700

Division

n÷y

n÷2	1670
n÷3	1113.3333333333
n÷3	835
n÷5	668

Exponentiation

n^y

n²	11155600
n³	37259704000
n⁴	124447411360000
n⁵	415654353942400000

Nth Root

^y√n

²√n	57.7927331072
³√n	14.947967867321
⁴√n	7.6021531888801
⁵√n	5.0669812050137

Divisors of 3340

1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-3339	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 3340 can be divided by 12 positive divisors. The sum of these divisors (counting 3340) is 1, the average is 0.083333333333333.

Base conversion 3340

Base	System	Value
2	Binary	110100001100
3	Ternary	11120201
4	Quaternary	310030
5	Quinary	101330
6	Senary	23244
8	Octal	6414
10	Decimal	3340
12	Duodecimal	1b24
16	Hexadecimal	d0c
20	Vigesimal	870
36	Base36	2ks

Cryptographic Hash Functions

md5	f471223d1a1614b58a7dc45c9d01df19
sha1	ae7e5d9dfff2b871eb9d3a046d00c97ce1fc1785
sha256	098c34d0a9154864e825ff44ed0b5b70719e84a73bff869369542f813faec4da
sha512	aa1acb7a50ced0ff8fa7751f9714ecb0027791446f468fc861c892688aba45c3ae44133f36ef131ba1fb25feab117108638387104cd4b3c839a01fa5bd2d4e5d
ripemd-160	626504d161a7556964d1f3dce0030982e14dd779

3340 as geometric shapes

Circle

Radius = n

Diameter	6680
Circumference	20985.83892598
Area	35046351.006386

Sphere

Radius = n

Volume	156073083148.44
Surface area	140185404.02555
Circumference	20985.83892598

Square

Length = n

Perimeter	13360
Area	11155600
Diagonal	4723.4732983261

Cube

Length = n

Surface area	66933600
Volume	37259704000
Space diagonal	5785.0496972801

Equilateral Triangle

Length = n

Perimeter	10020
Area	4830516.4972288
Altitude	2892.52484864

Triangular Pyramid

Length = n

Surface area	4830516.4972288
Volume	4391098227.2339
Height	1574.491099442