The number 350
350 is a composite number with 12 divisors. Its prime factorisation is 2 × × 7. Divisors (12): 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
350 is composite. Its prime factorisation is
- 3
The divisors add up to 744; without 350 itself that is 394, so 350 is abundant (394 is more than 350). Euler's totient φ(350) = 120 numbers up to 350 share no factor with it.
- 4
The digits of 350 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 350 = 2 \times 5^{2} \times 7 \]350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 744 |
| Euler totient φ(n) | 120 |
| Square | 122500 |
| Cube | 42875000 |
| Square root | 18.708287 (= 5√14) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 3.5 × |
350 in other forms
| Form | Value |
|---|---|
| In words | three hundred and fifty |
| Roman numerals | CCCL |
| Binary (base 2) | 101011110 |
| Octal (base 8) | 536 |
| Hexadecimal (base 16) | 15E |
| Base 3 | 110222 |
| As time | 350 seconds = 5 min 50 s |
Is 350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (350 ÷ 2 = 175) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (350 ÷ 5 = 70) | 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 | Yes (350 ÷ 7 = 50) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (350 ÷ 10 = 35) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 350 a prime number?
No. 350 = 2 × × 7, so it is divisible by 2.
What are the factors of 350?
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.
What is 350 in binary?
101011110 (hexadecimal 15E, octal 536).
What is the square root of 350?
About 18.7083, exactly 5√14.
What is 350 in Roman numerals?
CCCL.
Is 350 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 350?
It is a composite number with 12 divisors.