The number 344
344 is a composite number with 8 divisors. Its prime factorisation is × 43. Divisors (8): 1, 2, 4, 8, 43, 86, 172, 344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
344 is composite. Its prime factorisation is
- 3
The divisors add up to 660; without 344 itself that is 316, so 344 is deficient (316 is less than 344). Euler's totient φ(344) = 168 numbers up to 344 share no factor with it.
- 4
The digits of 344 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 344 = 2^{3} \times 43 \]344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 660 |
| Euler totient φ(n) | 168 |
| Square | 118336 |
| Cube | 40707584 |
| Square root | 18.547237 (= 2√86) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.44 × |
344 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty-four |
| Roman numerals | CCCXLIV |
| Binary (base 2) | 101011000 |
| Octal (base 8) | 530 |
| Hexadecimal (base 16) | 158 |
| Base 3 | 110202 |
| As time | 344 seconds = 5 min 44 s |
Is 344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (344 ÷ 2 = 172) | 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 (344 ÷ 4 = 86) | 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 2) | 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 | Yes (344 ÷ 8 = 43) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 344 a prime number?
No. 344 = × 43, so it is divisible by 2.
What are the factors of 344?
1, 2, 4, 8, 43, 86, 172, 344.
What is 344 in binary?
101011000 (hexadecimal 158, octal 530).
What is the square root of 344?
About 18.5472, exactly 2√86.
What is 344 in Roman numerals?
CCCXLIV.
Is 344 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 344?
It is a composite number with 8 divisors.