The number 38340
38340 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 71. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 38340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38340: a Harshad number: divisible by its digit sum 18.
- 2
38340 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 38340 itself that is 82620, so 38340 is abundant (82620 is more than 38340). Euler's totient φ(38340) = 10080 numbers up to 38340 share no factor with it.
- 4
The digits of 38340 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38340 = 2^{2} \times 3^{3} \times 5 \times 71 \]38340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 10080 |
| Square | 1469955600 |
| Cube | 56358097704000 |
| Square root | 195.806026 (= 6√1065) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.834 × |
38340 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and forty |
| Binary (base 2) | 1001010111000100 |
| Octal (base 8) | 112704 |
| Hexadecimal (base 16) | 95C4 |
| Base 3 | 1221121000 |
| As time | 38340 seconds = 10 h 39 min 0 s |
Is 38340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38340 ÷ 2 = 19170) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38340 ÷ 3 = 12780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38340 ÷ 4 = 9585) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38340 ÷ 5 = 7668) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38340 ÷ 6 = 6390) | 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 (38340 ÷ 9 = 4260) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38340 ÷ 10 = 3834) | 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 | Yes (38340 ÷ 12 = 3195) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38340 a prime number?
No. 38340 = × × 5 × 71, so it is divisible by 2.
What are the factors of 38340?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 71, 90, 108, 135, 142, 180, 213, 270, 284, 355, 426, 540, 639, 710, 852, 1065, 1278, 1420, 1917, 2130, 2556, 3195, 3834, 4260, 6390, 7668, 9585, 12780, 19170, 38340.
What is 38340 in binary?
1001010111000100 (hexadecimal 95C4, octal 112704).
What is the square root of 38340?
About 195.8060, exactly 6√1065.
Is 38340 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38340?
38340 is a Harshad number: divisible by its digit sum 18.