The number 32328
32328 is a composite number with 24 divisors. Its prime factorisation is × × 449. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 449, 898, 1347, 1796 … 32328.
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How to work it out
- 1
What is special about 32328: a Harshad number: divisible by its digit sum 18.
- 2
32328 is composite. Its prime factorisation is
- 3
The divisors add up to 87750; without 32328 itself that is 55422, so 32328 is abundant (55422 is more than 32328). Euler's totient φ(32328) = 10752 numbers up to 32328 share no factor with it.
- 4
The digits of 32328 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32328 = 2^{3} \times 3^{2} \times 449 \]32328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87750 |
| Euler totient φ(n) | 10752 |
| Square | 1045099584 |
| Cube | 33785979351552 |
| Square root | 179.799889 (= 6√898) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2328 × |
32328 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and twenty-eight |
| Binary (base 2) | 111111001001000 |
| Octal (base 8) | 77110 |
| Hexadecimal (base 16) | 7E48 |
| Base 3 | 1122100100 |
| As time | 32328 seconds = 8 h 58 min 48 s |
Is 32328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32328 ÷ 2 = 16164) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32328 ÷ 3 = 10776) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32328 ÷ 4 = 8082) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32328 ÷ 6 = 5388) | 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 (32328 ÷ 8 = 4041) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32328 ÷ 9 = 3592) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32328 ÷ 12 = 2694) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32328 a prime number?
No. 32328 = × × 449, so it is divisible by 2.
What are the factors of 32328?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 8082, 10776, 16164, 32328.
What is 32328 in binary?
111111001001000 (hexadecimal 7E48, octal 77110).
What is the square root of 32328?
About 179.7999, exactly 6√898.
Is 32328 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32328?
32328 is a Harshad number: divisible by its digit sum 18.