The number 34920
34920 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 97. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 34920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34920: a Harshad number: divisible by its digit sum 18.
- 2
34920 is composite. Its prime factorisation is
- 3
The divisors add up to 114660; without 34920 itself that is 79740, so 34920 is abundant (79740 is more than 34920). Euler's totient φ(34920) = 9216 numbers up to 34920 share no factor with it.
- 4
The digits of 34920 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34920 = 2^{3} \times 3^{2} \times 5 \times 97 \]34920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 114660 |
| Euler totient φ(n) | 9216 |
| Square | 1219406400 |
| Cube | 42581671488000 |
| Square root | 186.868938 (= 6√970) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.492 × |
34920 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and twenty |
| Binary (base 2) | 1000100001101000 |
| Octal (base 8) | 104150 |
| Hexadecimal (base 16) | 8868 |
| Base 3 | 1202220100 |
| As time | 34920 seconds = 9 h 42 min 0 s |
Is 34920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34920 ÷ 2 = 17460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34920 ÷ 3 = 11640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34920 ÷ 4 = 8730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34920 ÷ 5 = 6984) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34920 ÷ 6 = 5820) | 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 | Yes (34920 ÷ 8 = 4365) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34920 ÷ 9 = 3880) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34920 ÷ 10 = 3492) | 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 | Yes (34920 ÷ 12 = 2910) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34920 a prime number?
No. 34920 = × × 5 × 97, so it is divisible by 2.
What are the factors of 34920?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 97, 120, 180, 194, 291, 360, 388, 485, 582, 776, 873, 970, 1164, 1455, 1746, 1940, 2328, 2910, 3492, 3880, 4365, 5820, 6984, 8730, 11640, 17460, 34920.
What is 34920 in binary?
1000100001101000 (hexadecimal 8868, octal 104150).
What is the square root of 34920?
About 186.8689, exactly 6√970.
Is 34920 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34920?
34920 is a Harshad number: divisible by its digit sum 18.