The number 34480
34480 is a composite number with 20 divisors. Its prime factorisation is × 5 × 431. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 431, 862, 1724, 2155, 3448, 4310 … 34480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34480 is composite. Its prime factorisation is
- 3
The divisors add up to 80352; without 34480 itself that is 45872, so 34480 is abundant (45872 is more than 34480). Euler's totient φ(34480) = 13760 numbers up to 34480 share no factor with it.
- 4
The digits of 34480 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34480 = 2^{4} \times 5 \times 431 \]34480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 80352 |
| Euler totient φ(n) | 13760 |
| Square | 1188870400 |
| Cube | 40992251392000 |
| Square root | 185.687910 (= 4√2155) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.448 × |
34480 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and eighty |
| Binary (base 2) | 1000011010110000 |
| Octal (base 8) | 103260 |
| Hexadecimal (base 16) | 86B0 |
| Base 3 | 1202022001 |
| As time | 34480 seconds = 9 h 34 min 40 s |
Is 34480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34480 ÷ 2 = 17240) | 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 (34480 ÷ 4 = 8620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34480 ÷ 5 = 6896) | 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 5) | 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 (34480 ÷ 8 = 4310) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34480 ÷ 10 = 3448) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 34480 a prime number?
No. 34480 = × 5 × 431, so it is divisible by 2.
What are the factors of 34480?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 431, 862, 1724, 2155, 3448, 4310, 6896, 8620, 17240, 34480.
What is 34480 in binary?
1000011010110000 (hexadecimal 86B0, octal 103260).
What is the square root of 34480?
About 185.6879, exactly 4√2155.
Is 34480 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 34480?
It is a composite number with 20 divisors.