The number 328
328 is a composite number with 8 divisors. Its prime factorisation is × 41. Divisors (8): 1, 2, 4, 8, 41, 82, 164, 328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
328 is composite. Its prime factorisation is
- 3
The divisors add up to 630; without 328 itself that is 302, so 328 is deficient (302 is less than 328). Euler's totient φ(328) = 160 numbers up to 328 share no factor with it.
- 4
The digits of 328 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 328 = 2^{3} \times 41 \]328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 630 |
| Euler totient φ(n) | 160 |
| Square | 107584 |
| Cube | 35287552 |
| Square root | 18.110770 (= 2√82) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 3.28 × |
328 in other forms
| Form | Value |
|---|---|
| In words | three hundred and twenty-eight |
| Roman numerals | CCCXXVIII |
| Binary (base 2) | 101001000 |
| Octal (base 8) | 510 |
| Hexadecimal (base 16) | 148 |
| Base 3 | 110011 |
| As time | 328 seconds = 5 min 28 s |
Is 328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (328 ÷ 2 = 164) | 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 (328 ÷ 4 = 82) | 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 4) | 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 (328 ÷ 8 = 41) | 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 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 328 a prime number?
No. 328 = × 41, so it is divisible by 2.
What are the factors of 328?
1, 2, 4, 8, 41, 82, 164, 328.
What is 328 in binary?
101001000 (hexadecimal 148, octal 510).
What is the square root of 328?
About 18.1108, exactly 2√82.
What is 328 in Roman numerals?
CCCXXVIII.
Is 328 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 328?
It is a composite number with 8 divisors.