The number 34240
34240 is a composite number with 28 divisors. Its prime factorisation is × 5 × 107. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 160, 214, 320 … 34240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34240 is composite. Its prime factorisation is
- 3
The divisors add up to 82296; without 34240 itself that is 48056, so 34240 is abundant (48056 is more than 34240). Euler's totient φ(34240) = 13568 numbers up to 34240 share no factor with it.
- 4
The digits of 34240 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34240 = 2^{6} \times 5 \times 107 \]34240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 82296 |
| Euler totient φ(n) | 13568 |
| Square | 1172377600 |
| Cube | 40142209024000 |
| Square root | 185.040536 (= 8√535) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.424 × |
34240 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand two hundred and forty |
| Binary (base 2) | 1000010111000000 |
| Octal (base 8) | 102700 |
| Hexadecimal (base 16) | 85C0 |
| Base 3 | 1201222011 |
| As time | 34240 seconds = 9 h 30 min 40 s |
Is 34240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34240 ÷ 2 = 17120) | 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 (34240 ÷ 4 = 8560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34240 ÷ 5 = 6848) | 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 3) | 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 (34240 ÷ 8 = 4280) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34240 ÷ 10 = 3424) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 34240 a prime number?
No. 34240 = × 5 × 107, so it is divisible by 2.
What are the factors of 34240?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 160, 214, 320, 428, 535, 856, 1070, 1712, 2140, 3424, 4280, 6848, 8560, 17120, 34240.
What is 34240 in binary?
1000010111000000 (hexadecimal 85C0, octal 102700).
What is the square root of 34240?
About 185.0405, exactly 8√535.
Is 34240 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 34240?
It is a composite number with 28 divisors.