The number 348
348 is a composite number with 12 divisors. Its prime factorisation is × 3 × 29. Divisors (12): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
348 is composite. Its prime factorisation is
- 3
The divisors add up to 840; without 348 itself that is 492, so 348 is abundant (492 is more than 348). Euler's totient φ(348) = 112 numbers up to 348 share no factor with it.
- 4
The digits of 348 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 348 = 2^{2} \times 3 \times 29 \]348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 840 |
| Euler totient φ(n) | 112 |
| Square | 121104 |
| Cube | 42144192 |
| Square root | 18.654758 (= 2√87) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.48 × |
348 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty-eight |
| Roman numerals | CCCXLVIII |
| Binary (base 2) | 101011100 |
| Octal (base 8) | 534 |
| Hexadecimal (base 16) | 15C |
| Base 3 | 110220 |
| As time | 348 seconds = 5 min 48 s |
Is 348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (348 ÷ 2 = 174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (348 ÷ 3 = 116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (348 ÷ 4 = 87) | 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 | Yes (348 ÷ 6 = 58) | 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 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (348 ÷ 12 = 29) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 348 a prime number?
No. 348 = × 3 × 29, so it is divisible by 2.
What are the factors of 348?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.
What is 348 in binary?
101011100 (hexadecimal 15C, octal 534).
What is the square root of 348?
About 18.6548, exactly 2√87.
What is 348 in Roman numerals?
CCCXLVIII.
Is 348 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 348?
It is a composite number with 12 divisors.