The number 34040
34040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 23 × 37. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 23, 37, 40, 46, 74, 92, 115, 148, 184 … 34040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34040 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 34040 itself that is 48040, so 34040 is abundant (48040 is more than 34040). Euler's totient φ(34040) = 12672 numbers up to 34040 share no factor with it.
- 4
The digits of 34040 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34040 = 2^{3} \times 5 \times 23 \times 37 \]34040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 12672 |
| Square | 1158721600 |
| Cube | 39442883264000 |
| Square root | 184.499322 (= 2√8510) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.404 × |
34040 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and forty |
| Binary (base 2) | 1000010011111000 |
| Octal (base 8) | 102370 |
| Hexadecimal (base 16) | 84F8 |
| Base 3 | 1201200202 |
| As time | 34040 seconds = 9 h 27 min 20 s |
Is 34040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34040 ÷ 2 = 17020) | 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 (34040 ÷ 4 = 8510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34040 ÷ 5 = 6808) | 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 (34040 ÷ 8 = 4255) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34040 ÷ 10 = 3404) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34040 a prime number?
No. 34040 = × 5 × 23 × 37, so it is divisible by 2.
What are the factors of 34040?
1, 2, 4, 5, 8, 10, 20, 23, 37, 40, 46, 74, 92, 115, 148, 184, 185, 230, 296, 370, 460, 740, 851, 920, 1480, 1702, 3404, 4255, 6808, 8510, 17020, 34040.
What is 34040 in binary?
1000010011111000 (hexadecimal 84F8, octal 102370).
What is the square root of 34040?
About 184.4993, exactly 2√8510.
Is 34040 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 34040?
It is a composite number with 32 divisors.