The number 32440
32440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 811. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 811, 1622, 3244, 4055, 6488, 8110, 16220, 32440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32440 is composite. Its prime factorisation is
- 3
The divisors add up to 73080; without 32440 itself that is 40640, so 32440 is abundant (40640 is more than 32440). Euler's totient φ(32440) = 12960 numbers up to 32440 share no factor with it.
- 4
The digits of 32440 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32440 = 2^{3} \times 5 \times 811 \]32440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73080 |
| Euler totient φ(n) | 12960 |
| Square | 1052353600 |
| Cube | 34138350784000 |
| Square root | 180.111077 (= 2√8110) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.244 × |
32440 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and forty |
| Binary (base 2) | 111111010111000 |
| Octal (base 8) | 77270 |
| Hexadecimal (base 16) | 7EB8 |
| Base 3 | 1122111111 |
| As time | 32440 seconds = 9 h 0 min 40 s |
Is 32440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32440 ÷ 2 = 16220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32440 ÷ 4 = 8110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32440 ÷ 5 = 6488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (32440 ÷ 8 = 4055) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32440 ÷ 10 = 3244) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32440 a prime number?
No. 32440 = × 5 × 811, so it is divisible by 2.
What are the factors of 32440?
1, 2, 4, 5, 8, 10, 20, 40, 811, 1622, 3244, 4055, 6488, 8110, 16220, 32440.
What is 32440 in binary?
111111010111000 (hexadecimal 7EB8, octal 77270).
What is the square root of 32440?
About 180.1111, exactly 2√8110.
Is 32440 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32440?
It is a composite number with 16 divisors.