The number 304
304 is a composite number with 10 divisors. Its prime factorisation is × 19. Divisors (10): 1, 2, 4, 8, 16, 19, 38, 76, 152, 304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
304 is composite. Its prime factorisation is
- 3
The divisors add up to 620; without 304 itself that is 316, so 304 is abundant (316 is more than 304). Euler's totient φ(304) = 144 numbers up to 304 share no factor with it.
- 4
The digits of 304 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 304 = 2^{4} \times 19 \]304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 620 |
| Euler totient φ(n) | 144 |
| Square | 92416 |
| Cube | 28094464 |
| Square root | 17.435596 (= 4√19) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 24 |
| Scientific notation | 3.04 × |
304 in other forms
| Form | Value |
|---|---|
| In words | three hundred and four |
| Roman numerals | CCCIV |
| Binary (base 2) | 100110000 |
| Octal (base 8) | 460 |
| Hexadecimal (base 16) | 130 |
| Base 3 | 102021 |
| As time | 304 seconds = 5 min 4 s |
Is 304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (304 ÷ 2 = 152) | 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 (304 ÷ 4 = 76) | 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 3) | 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 (304 ÷ 8 = 38) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | 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 304 a prime number?
No. 304 = × 19, so it is divisible by 2.
What are the factors of 304?
1, 2, 4, 8, 16, 19, 38, 76, 152, 304.
What is 304 in binary?
100110000 (hexadecimal 130, octal 460).
What is the square root of 304?
About 17.4356, exactly 4√19.
What is 304 in Roman numerals?
CCCIV.
Is 304 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 304?
It is a composite number with 10 divisors.