The number 40364
40364 is a composite number with 6 divisors. Its prime factorisation is × 10091. Divisors (6): 1, 2, 4, 10091, 20182, 40364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40364 is composite. Its prime factorisation is
- 3
The divisors add up to 70644; without 40364 itself that is 30280, so 40364 is deficient (30280 is less than 40364). Euler's totient φ(40364) = 20180 numbers up to 40364 share no factor with it.
- 4
The digits of 40364 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40364 = 2^{2} \times 10091 \]40364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 70644 |
| Euler totient φ(n) | 20180 |
| Square | 1629252496 |
| Cube | 65763147748544 |
| Square root | 200.907939 (= 2√10091) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.0364 × |
40364 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty-four |
| Binary (base 2) | 1001110110101100 |
| Octal (base 8) | 116654 |
| Hexadecimal (base 16) | 9DAC |
| Base 3 | 2001100222 |
| As time | 40364 seconds = 11 h 12 min 44 s |
Is 40364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40364 ÷ 2 = 20182) | 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 (40364 ÷ 4 = 10091) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 8) | 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 5) | 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 40364 a prime number?
No. 40364 = × 10091, so it is divisible by 2.
What are the factors of 40364?
1, 2, 4, 10091, 20182, 40364.
What is 40364 in binary?
1001110110101100 (hexadecimal 9DAC, octal 116654).
What is the square root of 40364?
About 200.9079, exactly 2√10091.
Is 40364 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40364?
It is a composite number with 6 divisors.