The number 40356
40356 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 59. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 59, 76, 114, 118 … 40356.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40356: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
40356 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 40356 itself that is 68844, so 40356 is abundant (68844 is more than 40356). Euler's totient φ(40356) = 12528 numbers up to 40356 share no factor with it.
- 4
The digits of 40356 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40356 = 2^{2} \times 3^{2} \times 19 \times 59 \]40356 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 12528 |
| Square | 1628606736 |
| Cube | 65724053438016 |
| Square root | 200.888029 (= 6√1121) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0356 × |
40356 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and fifty-six |
| Binary (base 2) | 1001110110100100 |
| Octal (base 8) | 116644 |
| Hexadecimal (base 16) | 9DA4 |
| Base 3 | 2001100200 |
| As time | 40356 seconds = 11 h 12 min 36 s |
Is 40356 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40356 ÷ 2 = 20178) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40356 ÷ 3 = 13452) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40356 ÷ 4 = 10089) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40356 ÷ 6 = 6726) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40356 ÷ 9 = 4484) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40356 ÷ 12 = 3363) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40356 a prime number?
No. 40356 = × × 19 × 59, so it is divisible by 2.
What are the factors of 40356?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 59, 76, 114, 118, 171, 177, 228, 236, 342, 354, 531, 684, 708, 1062, 1121, 2124, 2242, 3363, 4484, 6726, 10089, 13452, 20178, 40356.
What is 40356 in binary?
1001110110100100 (hexadecimal 9DA4, octal 116644).
What is the square root of 40356?
About 200.8880, exactly 6√1121.
Is 40356 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40356?
40356 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.