The number 34880
34880 is a composite number with 28 divisors. Its prime factorisation is × 5 × 109. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 160, 218, 320 … 34880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34880 is composite. Its prime factorisation is
- 3
The divisors add up to 83820; without 34880 itself that is 48940, so 34880 is abundant (48940 is more than 34880). Euler's totient φ(34880) = 13824 numbers up to 34880 share no factor with it.
- 4
The digits of 34880 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34880 = 2^{6} \times 5 \times 109 \]34880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 83820 |
| Euler totient φ(n) | 13824 |
| Square | 1216614400 |
| Cube | 42435510272000 |
| Square root | 186.761880 (= 8√545) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.488 × |
34880 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and eighty |
| Binary (base 2) | 1000100001000000 |
| Octal (base 8) | 104100 |
| Hexadecimal (base 16) | 8840 |
| Base 3 | 1202211212 |
| As time | 34880 seconds = 9 h 41 min 20 s |
Is 34880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34880 ÷ 2 = 17440) | 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 | Yes (34880 ÷ 4 = 8720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34880 ÷ 5 = 6976) | 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 | No (remainder 6) | 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 (34880 ÷ 8 = 4360) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34880 ÷ 10 = 3488) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34880 a prime number?
No. 34880 = × 5 × 109, so it is divisible by 2.
What are the factors of 34880?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 160, 218, 320, 436, 545, 872, 1090, 1744, 2180, 3488, 4360, 6976, 8720, 17440, 34880.
What is 34880 in binary?
1000100001000000 (hexadecimal 8840, octal 104100).
What is the square root of 34880?
About 186.7619, exactly 8√545.
Is 34880 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 34880?
It is a composite number with 28 divisors.