The number 34704
34704 is a composite number with 30 divisors. Its prime factorisation is × × 241. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 241 … 34704.
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How to work it out
- 1
What is special about 34704: a Harshad number: divisible by its digit sum 18.
- 2
34704 is composite. Its prime factorisation is
- 3
The divisors add up to 97526; without 34704 itself that is 62822, so 34704 is abundant (62822 is more than 34704). Euler's totient φ(34704) = 11520 numbers up to 34704 share no factor with it.
- 4
The digits of 34704 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34704 = 2^{4} \times 3^{2} \times 241 \]34704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 97526 |
| Euler totient φ(n) | 11520 |
| Square | 1204367616 |
| Cube | 41796373745664 |
| Square root | 186.290096 (= 12√241) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4704 × |
34704 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and four |
| Binary (base 2) | 1000011110010000 |
| Octal (base 8) | 103620 |
| Hexadecimal (base 16) | 8790 |
| Base 3 | 1202121100 |
| As time | 34704 seconds = 9 h 38 min 24 s |
Is 34704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34704 ÷ 2 = 17352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34704 ÷ 3 = 11568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34704 ÷ 4 = 8676) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34704 ÷ 6 = 5784) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (34704 ÷ 8 = 4338) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34704 ÷ 9 = 3856) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (34704 ÷ 12 = 2892) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34704 a prime number?
No. 34704 = × × 241, so it is divisible by 2.
What are the factors of 34704?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 241, 482, 723, 964, 1446, 1928, 2169, 2892, 3856, 4338, 5784, 8676, 11568, 17352, 34704.
What is 34704 in binary?
1000011110010000 (hexadecimal 8790, octal 103620).
What is the square root of 34704?
About 186.2901, exactly 12√241.
Is 34704 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34704?
34704 is a Harshad number: divisible by its digit sum 18.