The number 330
330 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 11. Divisors (16): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 330: a Harshad number: divisible by its digit sum 6.
- 2
330 is composite. Its prime factorisation is
- 3
The divisors add up to 864; without 330 itself that is 534, so 330 is abundant (534 is more than 330). Euler's totient φ(330) = 80 numbers up to 330 share no factor with it.
- 4
The digits of 330 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 330 = 2 \times 3 \times 5 \times 11 \]
330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 864 |
| Euler totient φ(n) | 80 |
| Square | 108900 |
| Cube | 35937000 |
| Square root | 18.165902 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 3.3 × |
330 in other forms
| Form | Value |
|---|---|
| In words | three hundred and thirty |
| Roman numerals | CCCXXX |
| Binary (base 2) | 101001010 |
| Octal (base 8) | 512 |
| Hexadecimal (base 16) | 14A |
| Base 3 | 110020 |
| As time | 330 seconds = 5 min 30 s |
Is 330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (330 ÷ 2 = 165) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (330 ÷ 3 = 110) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (330 ÷ 5 = 66) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (330 ÷ 6 = 55) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (330 ÷ 10 = 33) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (330 ÷ 11 = 30) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 330 a prime number?
No. 330 = 2 × 3 × 5 × 11, so it is divisible by 2.
What are the factors of 330?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
What is 330 in binary?
101001010 (hexadecimal 14A, octal 512).
What is the square root of 330?
About 18.1659.
What is 330 in Roman numerals?
CCCXXX.
Is 330 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 330?
330 is a Harshad number: divisible by its digit sum 6.