The number 40374
40374 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2243. Divisors (12): 1, 2, 3, 6, 9, 18, 2243, 4486, 6729, 13458, 20187, 40374.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40374: a Harshad number: divisible by its digit sum 18.
- 2
40374 is composite. Its prime factorisation is
- 3
The divisors add up to 87516; without 40374 itself that is 47142, so 40374 is abundant (47142 is more than 40374). Euler's totient φ(40374) = 13452 numbers up to 40374 share no factor with it.
- 4
The digits of 40374 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40374 = 2 \times 3^{2} \times 2243 \]40374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87516 |
| Euler totient φ(n) | 13452 |
| Square | 1630059876 |
| Cube | 65812037433624 |
| Square root | 200.932825 (= 3√4486) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0374 × |
40374 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and seventy-four |
| Binary (base 2) | 1001110110110110 |
| Octal (base 8) | 116666 |
| Hexadecimal (base 16) | 9DB6 |
| Base 3 | 2001101100 |
| As time | 40374 seconds = 11 h 12 min 54 s |
Is 40374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40374 ÷ 2 = 20187) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40374 ÷ 3 = 13458) | 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 (40374 ÷ 6 = 6729) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40374 ÷ 9 = 4486) | 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 4) | 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 40374 a prime number?
No. 40374 = 2 × × 2243, so it is divisible by 2.
What are the factors of 40374?
1, 2, 3, 6, 9, 18, 2243, 4486, 6729, 13458, 20187, 40374.
What is 40374 in binary?
1001110110110110 (hexadecimal 9DB6, octal 116666).
What is the square root of 40374?
About 200.9328, exactly 3√4486.
Is 40374 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40374?
40374 is a Harshad number: divisible by its digit sum 18.