The number 340
340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 17. Divisors (12): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
340 is composite. Its prime factorisation is
- 3
The divisors add up to 756; without 340 itself that is 416, so 340 is abundant (416 is more than 340). Euler's totient φ(340) = 128 numbers up to 340 share no factor with it.
- 4
The digits of 340 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 11 steps to reach 1.
LaTeX source of the formulas on this page
\[ 340 = 2^{2} \times 5 \times 17 \]340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 756 |
| Euler totient φ(n) | 128 |
| Square | 115600 |
| Cube | 39304000 |
| Square root | 18.439089 (= 2√85) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 11 |
| Scientific notation | 3.4 × |
340 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty |
| Roman numerals | CCCXL |
| Binary (base 2) | 101010100 |
| Octal (base 8) | 524 |
| Hexadecimal (base 16) | 154 |
| Base 3 | 110121 |
| As time | 340 seconds = 5 min 40 s |
Is 340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (340 ÷ 2 = 170) | 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 (340 ÷ 4 = 85) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (340 ÷ 5 = 68) | 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 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 4) | 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 | Yes (340 ÷ 10 = 34) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 340 a prime number?
No. 340 = × 5 × 17, so it is divisible by 2.
What are the factors of 340?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
What is 340 in binary?
101010100 (hexadecimal 154, octal 524).
What is the square root of 340?
About 18.4391, exactly 2√85.
What is 340 in Roman numerals?
CCCXL.
Is 340 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 340?
It is a composite number with 12 divisors.