The number 40734
40734 is a composite number with 24 divisors. Its prime factorisation is 2 × × 31 × 73. Divisors (24): 1, 2, 3, 6, 9, 18, 31, 62, 73, 93, 146, 186, 219, 279, 438, 558 … 40734.
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How to work it out
- 1
What is special about 40734: a Harshad number: divisible by its digit sum 18.
- 2
40734 is composite. Its prime factorisation is
- 3
The divisors add up to 92352; without 40734 itself that is 51618, so 40734 is abundant (51618 is more than 40734). Euler's totient φ(40734) = 12960 numbers up to 40734 share no factor with it.
- 4
The digits of 40734 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40734 = 2 \times 3^{2} \times 31 \times 73 \]40734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92352 |
| Euler totient φ(n) | 12960 |
| Square | 1659258756 |
| Cube | 67588246166904 |
| Square root | 201.826658 (= 3√4526) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0734 × |
40734 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and thirty-four |
| Binary (base 2) | 1001111100011110 |
| Octal (base 8) | 117436 |
| Hexadecimal (base 16) | 9F1E |
| Base 3 | 2001212200 |
| As time | 40734 seconds = 11 h 18 min 54 s |
Is 40734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40734 ÷ 2 = 20367) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40734 ÷ 3 = 13578) | 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 (40734 ÷ 6 = 6789) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40734 ÷ 9 = 4526) | 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 1) | 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 40734 a prime number?
No. 40734 = 2 × × 31 × 73, so it is divisible by 2.
What are the factors of 40734?
1, 2, 3, 6, 9, 18, 31, 62, 73, 93, 146, 186, 219, 279, 438, 558, 657, 1314, 2263, 4526, 6789, 13578, 20367, 40734.
What is 40734 in binary?
1001111100011110 (hexadecimal 9F1E, octal 117436).
What is the square root of 40734?
About 201.8267, exactly 3√4526.
Is 40734 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40734?
40734 is a Harshad number: divisible by its digit sum 18.