The number 352
352 is a composite number with 12 divisors. Its prime factorisation is × 11. Divisors (12): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
352 is composite. Its prime factorisation is
- 3
The divisors add up to 756; without 352 itself that is 404, so 352 is abundant (404 is more than 352). Euler's totient φ(352) = 160 numbers up to 352 share no factor with it.
- 4
The digits of 352 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 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 352 = 2^{5} \times 11 \]352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 756 |
| Euler totient φ(n) | 160 |
| Square | 123904 |
| Cube | 43614208 |
| Square root | 18.761663 (= 4√22) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 19 |
| Scientific notation | 3.52 × |
352 in other forms
| Form | Value |
|---|---|
| In words | three hundred and fifty-two |
| Roman numerals | CCCLII |
| Binary (base 2) | 101100000 |
| Octal (base 8) | 540 |
| Hexadecimal (base 16) | 160 |
| Base 3 | 111001 |
| As time | 352 seconds = 5 min 52 s |
Is 352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (352 ÷ 2 = 176) | 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 | Yes (352 ÷ 4 = 88) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 (352 ÷ 8 = 44) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (352 ÷ 11 = 32) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 352 a prime number?
No. 352 = × 11, so it is divisible by 2.
What are the factors of 352?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352.
What is 352 in binary?
101100000 (hexadecimal 160, octal 540).
What is the square root of 352?
About 18.7617, exactly 4√22.
What is 352 in Roman numerals?
CCCLII.
Is 352 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 352?
It is a composite number with 12 divisors.