The number 30464
30464 is a composite number with 36 divisors. Its prime factorisation is × 7 × 17. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119 … 30464.
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How to work it out
- 1
What is special about 30464: a Harshad number: divisible by its digit sum 17.
- 2
30464 is composite. Its prime factorisation is
- 3
The divisors add up to 73584; without 30464 itself that is 43120, so 30464 is abundant (43120 is more than 30464). Euler's totient φ(30464) = 12288 numbers up to 30464 share no factor with it.
- 4
The digits of 30464 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30464 = 2^{8} \times 7 \times 17 \]30464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 73584 |
| Euler totient φ(n) | 12288 |
| Square | 928055296 |
| Cube | 28272276537344 |
| Square root | 174.539394 (= 16√119) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.0464 × |
30464 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and sixty-four |
| Binary (base 2) | 111011100000000 |
| Octal (base 8) | 73400 |
| Hexadecimal (base 16) | 7700 |
| Base 3 | 1112210022 |
| As time | 30464 seconds = 8 h 27 min 44 s |
Is 30464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30464 ÷ 2 = 15232) | 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 (30464 ÷ 4 = 7616) | 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 | Yes (30464 ÷ 7 = 4352) | 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 (30464 ÷ 8 = 3808) | 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 30464 a prime number?
No. 30464 = × 7 × 17, so it is divisible by 2.
What are the factors of 30464?
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 256, 272, 448, 476, 544, 896, 952, 1088, 1792, 1904, 2176, 3808, 4352, 7616, 15232, 30464.
What is 30464 in binary?
111011100000000 (hexadecimal 7700, octal 73400).
What is the square root of 30464?
About 174.5394, exactly 16√119.
Is 30464 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 30464?
30464 is a Harshad number: divisible by its digit sum 17.