The number 354
354 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 59. Divisors (8): 1, 2, 3, 6, 59, 118, 177, 354.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
354 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
354 is composite. Its prime factorisation is
- 3
The divisors add up to 720; without 354 itself that is 366, so 354 is abundant (366 is more than 354). Euler's totient φ(354) = 116 numbers up to 354 share no factor with it.
- 4
The digits of 354 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 354 = 2 \times 3 \times 59 \]
354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 720 |
| Euler totient φ(n) | 116 |
| Square | 125316 |
| Cube | 44361864 |
| Square root | 18.814888 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.54 × |
354 in other forms
| Form | Value |
|---|---|
| In words | three hundred and fifty-four |
| Roman numerals | CCCLIV |
| Binary (base 2) | 101100010 |
| Octal (base 8) | 542 |
| Hexadecimal (base 16) | 162 |
| Base 3 | 111010 |
| As time | 354 seconds = 5 min 54 s |
Is 354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (354 ÷ 2 = 177) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (354 ÷ 3 = 118) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (354 ÷ 6 = 59) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 354 a prime number?
No. 354 = 2 × 3 × 59, so it is divisible by 2.
What are the factors of 354?
1, 2, 3, 6, 59, 118, 177, 354.
What is 354 in binary?
101100010 (hexadecimal 162, octal 542).
What is the square root of 354?
About 18.8149.
What is 354 in Roman numerals?
CCCLIV.
Is 354 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 354?
It is a composite number with 8 divisors.