The number 40324
40324 is a composite number with 12 divisors. Its prime factorisation is × 17 × 593. Divisors (12): 1, 2, 4, 17, 34, 68, 593, 1186, 2372, 10081, 20162, 40324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40324 is composite. Its prime factorisation is
- 3
The divisors add up to 74844; without 40324 itself that is 34520, so 40324 is deficient (34520 is less than 40324). Euler's totient φ(40324) = 18944 numbers up to 40324 share no factor with it.
- 4
The digits of 40324 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40324 = 2^{2} \times 17 \times 593 \]40324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74844 |
| Euler totient φ(n) | 18944 |
| Square | 1626024976 |
| Cube | 65567831132224 |
| Square root | 200.808366 (= 2√10081) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0324 × |
40324 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and twenty-four |
| Binary (base 2) | 1001110110000100 |
| Octal (base 8) | 116604 |
| Hexadecimal (base 16) | 9D84 |
| Base 3 | 2001022111 |
| As time | 40324 seconds = 11 h 12 min 4 s |
Is 40324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40324 ÷ 2 = 20162) | 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 (40324 ÷ 4 = 10081) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | 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 9) | 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 40324 a prime number?
No. 40324 = × 17 × 593, so it is divisible by 2.
What are the factors of 40324?
1, 2, 4, 17, 34, 68, 593, 1186, 2372, 10081, 20162, 40324.
What is 40324 in binary?
1001110110000100 (hexadecimal 9D84, octal 116604).
What is the square root of 40324?
About 200.8084, exactly 2√10081.
Is 40324 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40324?
It is a composite number with 12 divisors.