The number 334
334 is a composite number with 4 divisors. Its prime factorisation is 2 × 167. Divisors (4): 1, 2, 167, 334.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 334: a semiprime: 2 × 167, the product of two primes.
- 2
334 is composite. Its prime factorisation is
- 3
The divisors add up to 504; without 334 itself that is 170, so 334 is deficient (170 is less than 334). Euler's totient φ(334) = 166 numbers up to 334 share no factor with it.
- 4
The digits of 334 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 334 = 2 \times 167 \]
334 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 504 |
| Euler totient φ(n) | 166 |
| Square | 111556 |
| Cube | 37259704 |
| Square root | 18.275667 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 3.34 × |
334 in other forms
| Form | Value |
|---|---|
| In words | three hundred and thirty-four |
| Roman numerals | CCCXXXIV |
| Binary (base 2) | 101001110 |
| Octal (base 8) | 516 |
| Hexadecimal (base 16) | 14E |
| Base 3 | 110101 |
| As time | 334 seconds = 5 min 34 s |
Is 334 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (334 ÷ 2 = 167) | 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 | No (remainder 2) | 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 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 334 a prime number?
No. 334 = 2 × 167, so it is divisible by 2.
What are the factors of 334?
1, 2, 167, 334.
What is 334 in binary?
101001110 (hexadecimal 14E, octal 516).
What is the square root of 334?
About 18.2757.
What is 334 in Roman numerals?
CCCXXXIV.
Is 334 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 334?
334 is a semiprime: 2 × 167, the product of two primes.