The number 40328
40328 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 71, 142, 284, 568, 5041, 10082, 20164, 40328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40328 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40328 is composite. Its prime factorisation is
- 3
The divisors add up to 76695; without 40328 itself that is 36367, so 40328 is deficient (36367 is less than 40328). Euler's totient φ(40328) = 19880 numbers up to 40328 share no factor with it.
- 4
The digits of 40328 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40328 = 2^{3} \times 71^{2} \]40328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76695 |
| Euler totient φ(n) | 19880 |
| Square | 1626347584 |
| Cube | 65587345367552 |
| Square root | 200.818326 (= 142√2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0328 × |
40328 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and twenty-eight |
| Binary (base 2) | 1001110110001000 |
| Octal (base 8) | 116610 |
| Hexadecimal (base 16) | 9D88 |
| Base 3 | 2001022122 |
| As time | 40328 seconds = 11 h 12 min 8 s |
Is 40328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40328 ÷ 2 = 20164) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40328 ÷ 4 = 10082) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (40328 ÷ 8 = 5041) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40328 a prime number?
No. 40328 = × , so it is divisible by 2.
What are the factors of 40328?
1, 2, 4, 8, 71, 142, 284, 568, 5041, 10082, 20164, 40328.
What is 40328 in binary?
1001110110001000 (hexadecimal 9D88, octal 116610).
What is the square root of 40328?
About 200.8183, exactly 142√2.
Is 40328 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40328?
It is a composite number with 12 divisors.