The number 38430
38430 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 61. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45 … 38430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38430: a Harshad number: divisible by its digit sum 18.
- 2
38430 is composite. Its prime factorisation is
- 3
The divisors add up to 116064; without 38430 itself that is 77634, so 38430 is abundant (77634 is more than 38430). Euler's totient φ(38430) = 8640 numbers up to 38430 share no factor with it.
- 4
The digits of 38430 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
\[ 38430 = 2 \times 3^{2} \times 5 \times 7 \times 61 \]38430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 116064 |
| Euler totient φ(n) | 8640 |
| Square | 1476864900 |
| Cube | 56755918107000 |
| Square root | 196.035711 (= 3√4270) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.843 × |
38430 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and thirty |
| Binary (base 2) | 1001011000011110 |
| Octal (base 8) | 113036 |
| Hexadecimal (base 16) | 961E |
| Base 3 | 1221201100 |
| As time | 38430 seconds = 10 h 40 min 30 s |
Is 38430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38430 ÷ 2 = 19215) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38430 ÷ 3 = 12810) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38430 ÷ 5 = 7686) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38430 ÷ 6 = 6405) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38430 ÷ 7 = 5490) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38430 ÷ 9 = 4270) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38430 ÷ 10 = 3843) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38430 a prime number?
No. 38430 = 2 × × 5 × 7 × 61, so it is divisible by 2.
What are the factors of 38430?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 61, 63, 70, 90, 105, 122, 126, 183, 210, 305, 315, 366, 427, 549, 610, 630, 854, 915, 1098, 1281, 1830, 2135, 2562, 2745, 3843, 4270, 5490, 6405, 7686, 12810, 19215, 38430.
What is 38430 in binary?
1001011000011110 (hexadecimal 961E, octal 113036).
What is the square root of 38430?
About 196.0357, exactly 3√4270.
Is 38430 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38430?
38430 is a Harshad number: divisible by its digit sum 18.