The number 40464
40464 is a composite number with 30 divisors. Its prime factorisation is × × 281. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 281 … 40464.
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How to work it out
- 1
What is special about 40464: a Harshad number: divisible by its digit sum 18.
- 2
40464 is composite. Its prime factorisation is
- 3
The divisors add up to 113646; without 40464 itself that is 73182, so 40464 is abundant (73182 is more than 40464). Euler's totient φ(40464) = 13440 numbers up to 40464 share no factor with it.
- 4
The digits of 40464 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40464 = 2^{4} \times 3^{2} \times 281 \]40464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 113646 |
| Euler totient φ(n) | 13440 |
| Square | 1637335296 |
| Cube | 66253135417344 |
| Square root | 201.156655 (= 12√281) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0464 × |
40464 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and sixty-four |
| Binary (base 2) | 1001111000010000 |
| Octal (base 8) | 117020 |
| Hexadecimal (base 16) | 9E10 |
| Base 3 | 2001111200 |
| As time | 40464 seconds = 11 h 14 min 24 s |
Is 40464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40464 ÷ 2 = 20232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40464 ÷ 3 = 13488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40464 ÷ 4 = 10116) | 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 (40464 ÷ 6 = 6744) | 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 | Yes (40464 ÷ 8 = 5058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40464 ÷ 9 = 4496) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40464 ÷ 12 = 3372) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40464 a prime number?
No. 40464 = × × 281, so it is divisible by 2.
What are the factors of 40464?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 4496, 5058, 6744, 10116, 13488, 20232, 40464.
What is 40464 in binary?
1001111000010000 (hexadecimal 9E10, octal 117020).
What is the square root of 40464?
About 201.1567, exactly 12√281.
Is 40464 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40464?
40464 is a Harshad number: divisible by its digit sum 18.