The number 34164
34164 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 73. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117 … 34164.
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How to work it out
- 1
What is special about 34164: a Harshad number: divisible by its digit sum 18.
- 2
34164 is composite. Its prime factorisation is
- 3
The divisors add up to 94276; without 34164 itself that is 60112, so 34164 is abundant (60112 is more than 34164). Euler's totient φ(34164) = 10368 numbers up to 34164 share no factor with it.
- 4
The digits of 34164 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34164 = 2^{2} \times 3^{2} \times 13 \times 73 \]34164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 94276 |
| Euler totient φ(n) | 10368 |
| Square | 1167178896 |
| Cube | 39875499802944 |
| Square root | 184.835062 (= 6√949) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.4164 × |
34164 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and sixty-four |
| Binary (base 2) | 1000010101110100 |
| Octal (base 8) | 102564 |
| Hexadecimal (base 16) | 8574 |
| Base 3 | 1201212100 |
| As time | 34164 seconds = 9 h 29 min 24 s |
Is 34164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34164 ÷ 2 = 17082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34164 ÷ 3 = 11388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34164 ÷ 4 = 8541) | 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 (34164 ÷ 6 = 5694) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34164 ÷ 9 = 3796) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34164 ÷ 12 = 2847) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34164 a prime number?
No. 34164 = × × 13 × 73, so it is divisible by 2.
What are the factors of 34164?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164.
What is 34164 in binary?
1000010101110100 (hexadecimal 8574, octal 102564).
What is the square root of 34164?
About 184.8351, exactly 6√949.
Is 34164 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34164?
34164 is a Harshad number: divisible by its digit sum 18.