The number 349
349 is a twin prime (347 and 349 are both prime) and the 70th prime number. Its only divisors are 1 and 349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 349: a twin prime (347 and 349 are both prime); the 70th prime number.
- 2
349 is prime, so its only factors are 1 and 349. It is the 70th prime; the next prime is 353 and the one before is 347.
- 3
The divisors add up to 350; without 349 itself that is 1, so 349 is deficient (1 is less than 349). Euler's totient φ(349) = 348 numbers up to 349 share no factor with it.
- 4
The digits of 349 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 350 |
| Euler totient φ(n) | 348 |
| Square | 121801 |
| Cube | 42508549 |
| Square root | 18.681542 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.49 × |
349 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty-nine |
| Roman numerals | CCCXLIX |
| Binary (base 2) | 101011101 |
| Octal (base 8) | 535 |
| Hexadecimal (base 16) | 15D |
| Base 3 | 110221 |
| As time | 349 seconds = 5 min 49 s |
Is 349 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 1) | 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 | No (remainder 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 349 a prime number?
Yes. 349 is divisible only by 1 and itself.
What are the factors of 349?
1, 349.
What is 349 in binary?
101011101 (hexadecimal 15D, octal 535).
What is the square root of 349?
About 18.6815.
What is 349 in Roman numerals?
CCCXLIX.
Is 349 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 349?
349 is a twin prime (347 and 349 are both prime); the 70th prime number.