The number 34010
34010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 19 × 179. Divisors (16): 1, 2, 5, 10, 19, 38, 95, 179, 190, 358, 895, 1790, 3401, 6802, 17005, 34010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34010 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 34010 itself that is 30790, so 34010 is deficient (30790 is less than 34010). Euler's totient φ(34010) = 12816 numbers up to 34010 share no factor with it.
- 4
The digits of 34010 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34010 = 2 \times 5 \times 19 \times 179 \]
34010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 12816 |
| Square | 1156680100 |
| Cube | 39338690201000 |
| Square root | 184.418003 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.401 × |
34010 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and ten |
| Binary (base 2) | 1000010011011010 |
| Octal (base 8) | 102332 |
| Hexadecimal (base 16) | 84DA |
| Base 3 | 1201122122 |
| As time | 34010 seconds = 9 h 26 min 50 s |
Is 34010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34010 ÷ 2 = 17005) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34010 ÷ 5 = 6802) | 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 4) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34010 ÷ 10 = 3401) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34010 a prime number?
No. 34010 = 2 × 5 × 19 × 179, so it is divisible by 2.
What are the factors of 34010?
1, 2, 5, 10, 19, 38, 95, 179, 190, 358, 895, 1790, 3401, 6802, 17005, 34010.
What is 34010 in binary?
1000010011011010 (hexadecimal 84DA, octal 102332).
What is the square root of 34010?
About 184.4180.
Is 34010 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 34010?
It is a composite number with 16 divisors.