What is the prime factorization of the number 1440?

The prime factorization of 1440 is 2^5 × 3^2 × 5. To find this, we start dividing 1440 by the smallest prime number, 2, until we can't divide anymore. After 5 steps, the quotient is 45. Then we continue dividing by the smallest prime, 5, until we can't divide anymore. After 2 additional steps, the quotient is 9. Finally, we divide by the remaining prime, 3, until we can't divide anymore. After 2 more steps, the quotient is 1. So, we have 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 2^5 × 3^2 × 5 = 1440.

Math question: If 1440 is multiplied by 3 and then divided by 4, what is the resulting value?

By multiplying 1440 by 3, we get 4320. Next, dividing 4320 by 4 gives us 1080. Therefore, the resulting value of multiplying 1440 by 3 and dividing by 4 is 1080.

Math question: What is the smallest positive integer that can be evenly divided by 2, 3, 5, and 8, but is less than or equal to 1440?

To find the smallest number divisible by multiple integers, we need to determine the least common multiple (LCM) of these numbers. The LCM of 2, 3, 5, and 8 is 120. However, we have to find the largest multiple of 120 that is less than or equal to 1440. The largest multiple of 120 less than or equal to 1440 is 12 times 120, which equals 1440. Therefore, 1440 is the smallest positive integer divisible by 2, 3, 5, and 8 that is less than or equal to 1440.

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

1440 (number)

1440 is an even 4-digits composite number following 1439 and preceding 1441. In scientific notation, it is written as 1.440 × 10^3. The sum of its digits is 9. It has a total of 8 prime factors and 36 positive divisors. There are 384 positive integers (up to 1440) that are relatively prime to 1440.

Interesting facts

1440 has 36 divisors, whose sum is 4914
The reverse of 1440 is 0441
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	one thousand four hundred forty

Notation

Scientific notation	1.440 × 10^3
Engineering notation	1.440 × 10^3

Prime Factorization of 1440

Prime Factorization 2 × 2 × 2 × 2 × 2 × 5 × 3 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	30	Product of the distinct prime numbers

The prime factorization of 1440 is 2 × 2 × 2 × 2 × 2 × 5 × 3 × 3. Since it has a total of 8 prime factors.

Most popular turbo-numbers

10, 6, 30, 40, 530, 531, 7124, 8481, 79967, 18166, 86976, 505404, 8665088, 347717, 17628601, 47952404, 127802460, 106880277, 2185606781, 5352083350

Basic calculations (n = 1440)

Multiplication

n×y

n×2	2880
n×3	4320
n×4	5760
n×5	7200

Division

n÷y

n÷2	720
n÷3	480
n÷3	360
n÷5	288

Exponentiation

n^y

n²	2073600
n³	2985984000
n⁴	4299816960000
n⁵	6191736422400000

Nth Root

^y√n

²√n	37.947331922021
³√n	11.292432346572
⁴√n	6.160140576482
⁵√n	4.2822547366766

Divisors of 1440

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440

36 divisors

τ	Total Divisors	36	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1439	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.027777777777778	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	36	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1440 can be divided by 36 positive divisors. The sum of these divisors (counting 1440) is 1, the average is 0.027777777777778.

Base conversion 1440

Base	System	Value
2	Binary	10110100000
3	Ternary	1222100
4	Quaternary	112200
5	Quinary	21230
6	Senary	10400
8	Octal	2640
10	Decimal	1440
12	Duodecimal	a00
16	Hexadecimal	5a0
20	Vigesimal	3c0
36	Base36	140

Cryptographic Hash Functions

md5	f4a331b7a22d1b237565d8813a34d8ac
sha1	3c5174b71d24aa217f93fc1b7439c1ee25e11556
sha256	a4ff3ad278c7b0575a8e32ae08eebfb327e37762cb1a2caa793c431b9b2ca2c6
sha512	2ba582daa457ab6f5793bd820842e0f584e9724f0f40af213cdaeca568ece04ac400fd3573a370ea5e2a05fd4f09f63c242b2042af8a765fde47e1d5e9f616ed
ripemd-160	ef88d01f391a9f53244d58c4facd028fc8717591

1440 as geometric shapes

Circle

Radius = n

Diameter	2880
Circumference	9047.7868423386
Area	6514406.5264838

Sphere

Radius = n

Volume	12507660530.849
Surface area	26057626.105935
Circumference	9047.7868423386

Square

Length = n

Perimeter	5760
Area	2073600
Diagonal	2036.4675298173

Cube

Length = n

Surface area	12441600
Volume	2985984000
Space diagonal	2494.1531628992

Equilateral Triangle

Length = n

Perimeter	4320
Area	897895.13864371
Altitude	1247.0765814496

Triangular Pyramid

Length = n

Surface area	897895.13864371
Volume	351901589.15242
Height	678.82250993909