The number 34074
34074 is a composite number with 16 divisors. Its prime factorisation is 2 × × 631. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 631, 1262, 1893, 3786, 5679, 11358, 17037, 34074.
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How to work it out
- 1
What is special about 34074: a Harshad number: divisible by its digit sum 18.
- 2
34074 is composite. Its prime factorisation is
- 3
The divisors add up to 75840; without 34074 itself that is 41766, so 34074 is abundant (41766 is more than 34074). Euler's totient φ(34074) = 11340 numbers up to 34074 share no factor with it.
- 4
The digits of 34074 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34074 = 2 \times 3^{3} \times 631 \]34074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75840 |
| Euler totient φ(n) | 11340 |
| Square | 1161037476 |
| Cube | 39561190957224 |
| Square root | 184.591441 (= 3√3786) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4074 × |
34074 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and seventy-four |
| Binary (base 2) | 1000010100011010 |
| Octal (base 8) | 102432 |
| Hexadecimal (base 16) | 851A |
| Base 3 | 1201202000 |
| As time | 34074 seconds = 9 h 27 min 54 s |
Is 34074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34074 ÷ 2 = 17037) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34074 ÷ 3 = 11358) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34074 ÷ 6 = 5679) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34074 ÷ 9 = 3786) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34074 a prime number?
No. 34074 = 2 × × 631, so it is divisible by 2.
What are the factors of 34074?
1, 2, 3, 6, 9, 18, 27, 54, 631, 1262, 1893, 3786, 5679, 11358, 17037, 34074.
What is 34074 in binary?
1000010100011010 (hexadecimal 851A, octal 102432).
What is the square root of 34074?
About 184.5914, exactly 3√3786.
Is 34074 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34074?
34074 is a Harshad number: divisible by its digit sum 18.