The number 40368
40368 is a composite number with 30 divisors. Its prime factorisation is × 3 × . Divisors (30): 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232 … 40368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40368 is composite. Its prime factorisation is
- 3
The divisors add up to 108004; without 40368 itself that is 67636, so 40368 is abundant (67636 is more than 40368). Euler's totient φ(40368) = 12992 numbers up to 40368 share no factor with it.
- 4
The digits of 40368 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40368 = 2^{4} \times 3 \times 29^{2} \]40368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 108004 |
| Euler totient φ(n) | 12992 |
| Square | 1629575424 |
| Cube | 65782700716032 |
| Square root | 200.917894 (= 116√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0368 × |
40368 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty-eight |
| Binary (base 2) | 1001110110110000 |
| Octal (base 8) | 116660 |
| Hexadecimal (base 16) | 9DB0 |
| Base 3 | 2001101010 |
| As time | 40368 seconds = 11 h 12 min 48 s |
Is 40368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40368 ÷ 2 = 20184) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40368 ÷ 3 = 13456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40368 ÷ 4 = 10092) | 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 (40368 ÷ 6 = 6728) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (40368 ÷ 8 = 5046) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40368 ÷ 12 = 3364) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40368 a prime number?
No. 40368 = × 3 × , so it is divisible by 2.
What are the factors of 40368?
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 841, 1392, 1682, 2523, 3364, 5046, 6728, 10092, 13456, 20184, 40368.
What is 40368 in binary?
1001110110110000 (hexadecimal 9DB0, octal 116660).
What is the square root of 40368?
About 200.9179, exactly 116√3.
Is 40368 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40368?
It is a composite number with 30 divisors.