The number 34120
34120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 853. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 853, 1706, 3412, 4265, 6824, 8530, 17060, 34120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34120: a Harshad number: divisible by its digit sum 10.
- 2
34120 is composite. Its prime factorisation is
- 3
The divisors add up to 76860; without 34120 itself that is 42740, so 34120 is abundant (42740 is more than 34120). Euler's totient φ(34120) = 13632 numbers up to 34120 share no factor with it.
- 4
The digits of 34120 add up to 10, 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
\[ 34120 = 2^{3} \times 5 \times 853 \]34120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76860 |
| Euler totient φ(n) | 13632 |
| Square | 1164174400 |
| Cube | 39721630528000 |
| Square root | 184.715998 (= 2√8530) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.412 × |
34120 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and twenty |
| Binary (base 2) | 1000010101001000 |
| Octal (base 8) | 102510 |
| Hexadecimal (base 16) | 8548 |
| Base 3 | 1201210201 |
| As time | 34120 seconds = 9 h 28 min 40 s |
Is 34120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34120 ÷ 2 = 17060) | 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 (34120 ÷ 4 = 8530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34120 ÷ 5 = 6824) | 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 2) | 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 (34120 ÷ 8 = 4265) | 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 (34120 ÷ 10 = 3412) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34120 a prime number?
No. 34120 = × 5 × 853, so it is divisible by 2.
What are the factors of 34120?
1, 2, 4, 5, 8, 10, 20, 40, 853, 1706, 3412, 4265, 6824, 8530, 17060, 34120.
What is 34120 in binary?
1000010101001000 (hexadecimal 8548, octal 102510).
What is the square root of 34120?
About 184.7160, exactly 2√8530.
Is 34120 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 34120?
34120 is a Harshad number: divisible by its digit sum 10.