The number 34000
34000 is a composite number with 40 divisors. Its prime factorisation is × × 17. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85 … 34000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34000 is composite. Its prime factorisation is
- 3
The divisors add up to 87048; without 34000 itself that is 53048, so 34000 is abundant (53048 is more than 34000). Euler's totient φ(34000) = 12800 numbers up to 34000 share no factor with it.
- 4
The digits of 34000 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34000 = 2^{4} \times 5^{3} \times 17 \]34000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 87048 |
| Euler totient φ(n) | 12800 |
| Square | 1156000000 |
| Cube | 39304000000000 |
| Square root | 184.390889 (= 20√85) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4 × |
34000 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand |
| Binary (base 2) | 1000010011010000 |
| Octal (base 8) | 102320 |
| Hexadecimal (base 16) | 84D0 |
| Base 3 | 1201122021 |
| As time | 34000 seconds = 9 h 26 min 40 s |
Is 34000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34000 ÷ 2 = 17000) | 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 (34000 ÷ 4 = 8500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34000 ÷ 5 = 6800) | 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 1) | 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 (34000 ÷ 8 = 4250) | 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 (34000 ÷ 10 = 3400) | 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 34000 a prime number?
No. 34000 = × × 17, so it is divisible by 2.
What are the factors of 34000?
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 125, 136, 170, 200, 250, 272, 340, 400, 425, 500, 680, 850, 1000, 1360, 1700, 2000, 2125, 3400, 4250, 6800, 8500, 17000, 34000.
What is 34000 in binary?
1000010011010000 (hexadecimal 84D0, octal 102320).
What is the square root of 34000?
About 184.3909, exactly 20√85.
Is 34000 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 34000?
It is a composite number with 40 divisors.