The number 38240
38240 is a composite number with 24 divisors. Its prime factorisation is × 5 × 239. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 239, 478, 956, 1195 … 38240.
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How to work it out
- 1
38240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38240 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 38240 itself that is 52480, so 38240 is abundant (52480 is more than 38240). Euler's totient φ(38240) = 15232 numbers up to 38240 share no factor with it.
- 4
The digits of 38240 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38240 = 2^{5} \times 5 \times 239 \]38240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 15232 |
| Square | 1462297600 |
| Cube | 55918260224000 |
| Square root | 195.550505 (= 4√2390) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.824 × |
38240 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and forty |
| Binary (base 2) | 1001010101100000 |
| Octal (base 8) | 112540 |
| Hexadecimal (base 16) | 9560 |
| Base 3 | 1221110022 |
| As time | 38240 seconds = 10 h 37 min 20 s |
Is 38240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38240 ÷ 2 = 19120) | 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 (38240 ÷ 4 = 9560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38240 ÷ 5 = 7648) | 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 6) | 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 (38240 ÷ 8 = 4780) | 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 | Yes (38240 ÷ 10 = 3824) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38240 a prime number?
No. 38240 = × 5 × 239, so it is divisible by 2.
What are the factors of 38240?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 7648, 9560, 19120, 38240.
What is 38240 in binary?
1001010101100000 (hexadecimal 9560, octal 112540).
What is the square root of 38240?
About 195.5505, exactly 4√2390.
Is 38240 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38240?
It is a composite number with 24 divisors.