The number 43440
43440 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 181. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 43440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43440: a Harshad number: divisible by its digit sum 15.
- 2
43440 is composite. Its prime factorisation is
- 3
The divisors add up to 135408; without 43440 itself that is 91968, so 43440 is abundant (91968 is more than 43440). Euler's totient φ(43440) = 11520 numbers up to 43440 share no factor with it.
- 4
The digits of 43440 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43440 = 2^{4} \times 3 \times 5 \times 181 \]43440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 135408 |
| Euler totient φ(n) | 11520 |
| Square | 1887033600 |
| Cube | 81972739584000 |
| Square root | 208.422648 (= 4√2715) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.344 × |
43440 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and forty |
| Binary (base 2) | 1010100110110000 |
| Octal (base 8) | 124660 |
| Hexadecimal (base 16) | A9B0 |
| Base 3 | 2012120220 |
| As time | 43440 seconds = 12 h 4 min 0 s |
Is 43440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43440 ÷ 2 = 21720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43440 ÷ 3 = 14480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43440 ÷ 4 = 10860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43440 ÷ 5 = 8688) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43440 ÷ 6 = 7240) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (43440 ÷ 8 = 5430) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43440 ÷ 10 = 4344) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43440 ÷ 12 = 3620) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43440 a prime number?
No. 43440 = × 3 × 5 × 181, so it is divisible by 2.
What are the factors of 43440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 181, 240, 362, 543, 724, 905, 1086, 1448, 1810, 2172, 2715, 2896, 3620, 4344, 5430, 7240, 8688, 10860, 14480, 21720, 43440.
What is 43440 in binary?
1010100110110000 (hexadecimal A9B0, octal 124660).
What is the square root of 43440?
About 208.4226, exactly 4√2715.
Is 43440 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43440?
43440 is a Harshad number: divisible by its digit sum 15.