The number 368
368 is a composite number with 10 divisors. Its prime factorisation is × 23. Divisors (10): 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 368: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
368 is composite. Its prime factorisation is
- 3
The divisors add up to 744; without 368 itself that is 376, so 368 is abundant (376 is more than 368). Euler's totient φ(368) = 176 numbers up to 368 share no factor with it.
- 4
The digits of 368 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 368 = 2^{4} \times 23 \]368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 744 |
| Euler totient φ(n) | 176 |
| Square | 135424 |
| Cube | 49836032 |
| Square root | 19.183326 (= 4√23) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 19 |
| Scientific notation | 3.68 × |
368 in other forms
| Form | Value |
|---|---|
| In words | three hundred and sixty-eight |
| Roman numerals | CCCLXVIII |
| Binary (base 2) | 101110000 |
| Octal (base 8) | 560 |
| Hexadecimal (base 16) | 170 |
| Base 3 | 111122 |
| As time | 368 seconds = 6 min 8 s |
Is 368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (368 ÷ 2 = 184) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (368 ÷ 4 = 92) | 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 | No (remainder 2) | 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 (368 ÷ 8 = 46) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 368 a prime number?
No. 368 = × 23, so it is divisible by 2.
What are the factors of 368?
1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
What is 368 in binary?
101110000 (hexadecimal 170, octal 560).
What is the square root of 368?
About 19.1833, exactly 4√23.
What is 368 in Roman numerals?
CCCLXVIII.
Is 368 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 368?
368 is a happy number: repeatedly adding the squares of its digits reaches 1.