The number 30400
30400 is a composite number with 42 divisors. Its prime factorisation is × × 19. Divisors (42): 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 64, 76 … 30400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30400 is composite. Its prime factorisation is
- 3
The divisors add up to 78740; without 30400 itself that is 48340, so 30400 is abundant (48340 is more than 30400). Euler's totient φ(30400) = 11520 numbers up to 30400 share no factor with it.
- 4
The digits of 30400 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30400 = 2^{6} \times 5^{2} \times 19 \]30400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 78740 |
| Euler totient φ(n) | 11520 |
| Square | 924160000 |
| Cube | 28094464000000 |
| Square root | 174.355958 (= 40√19) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 33 |
| Scientific notation | 3.04 × |
30400 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred |
| Binary (base 2) | 111011011000000 |
| Octal (base 8) | 73300 |
| Hexadecimal (base 16) | 76C0 |
| Base 3 | 1112200221 |
| As time | 30400 seconds = 8 h 26 min 40 s |
Is 30400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30400 ÷ 2 = 15200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30400 ÷ 4 = 7600) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30400 ÷ 5 = 6080) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (30400 ÷ 8 = 3800) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30400 ÷ 10 = 3040) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30400 a prime number?
No. 30400 = × × 19, so it is divisible by 2.
What are the factors of 30400?
1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 64, 76, 80, 95, 100, 152, 160, 190, 200, 304, 320, 380, 400, 475, 608, 760, 800, 950, 1216, 1520, 1600, 1900, 3040, 3800, 6080, 7600, 15200, 30400.
What is 30400 in binary?
111011011000000 (hexadecimal 76C0, octal 73300).
What is the square root of 30400?
About 174.3560, exactly 40√19.
Is 30400 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 30400?
It is a composite number with 42 divisors.