The number 36324
36324 is a composite number with 18 divisors. Its prime factorisation is × × 1009. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1009, 2018, 3027, 4036, 6054, 9081, 12108 … 36324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36324: a Harshad number: divisible by its digit sum 18.
- 2
36324 is composite. Its prime factorisation is
- 3
The divisors add up to 91910; without 36324 itself that is 55586, so 36324 is abundant (55586 is more than 36324). Euler's totient φ(36324) = 12096 numbers up to 36324 share no factor with it.
- 4
The digits of 36324 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36324 = 2^{2} \times 3^{2} \times 1009 \]36324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 91910 |
| Euler totient φ(n) | 12096 |
| Square | 1319432976 |
| Cube | 47927083420224 |
| Square root | 190.588562 (= 6√1009) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.6324 × |
36324 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand three hundred and twenty-four |
| Binary (base 2) | 1000110111100100 |
| Octal (base 8) | 106744 |
| Hexadecimal (base 16) | 8DE4 |
| Base 3 | 1211211100 |
| As time | 36324 seconds = 10 h 5 min 24 s |
Is 36324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36324 ÷ 2 = 18162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36324 ÷ 3 = 12108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36324 ÷ 4 = 9081) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36324 ÷ 6 = 6054) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36324 ÷ 9 = 4036) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36324 ÷ 12 = 3027) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36324 a prime number?
No. 36324 = × × 1009, so it is divisible by 2.
What are the factors of 36324?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1009, 2018, 3027, 4036, 6054, 9081, 12108, 18162, 36324.
What is 36324 in binary?
1000110111100100 (hexadecimal 8DE4, octal 106744).
What is the square root of 36324?
About 190.5886, exactly 6√1009.
Is 36324 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36324?
36324 is a Harshad number: divisible by its digit sum 18.