The number 34488
34488 is a composite number with 24 divisors. Its prime factorisation is × × 479. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 479, 958, 1437, 1916 … 34488.
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How to work it out
- 1
34488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34488 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 34488 itself that is 59112, so 34488 is abundant (59112 is more than 34488). Euler's totient φ(34488) = 11472 numbers up to 34488 share no factor with it.
- 4
The digits of 34488 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34488 = 2^{3} \times 3^{2} \times 479 \]34488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 11472 |
| Square | 1189422144 |
| Cube | 41020790902272 |
| Square root | 185.709450 (= 6√958) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4488 × |
34488 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and eighty-eight |
| Binary (base 2) | 1000011010111000 |
| Octal (base 8) | 103270 |
| Hexadecimal (base 16) | 86B8 |
| Base 3 | 1202022100 |
| As time | 34488 seconds = 9 h 34 min 48 s |
Is 34488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34488 ÷ 2 = 17244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34488 ÷ 3 = 11496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34488 ÷ 4 = 8622) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34488 ÷ 6 = 5748) | 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 (34488 ÷ 8 = 4311) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34488 ÷ 9 = 3832) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34488 ÷ 12 = 2874) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34488 a prime number?
No. 34488 = × × 479, so it is divisible by 2.
What are the factors of 34488?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 479, 958, 1437, 1916, 2874, 3832, 4311, 5748, 8622, 11496, 17244, 34488.
What is 34488 in binary?
1000011010111000 (hexadecimal 86B8, octal 103270).
What is the square root of 34488?
About 185.7095, exactly 6√958.
Is 34488 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 34488?
It is a composite number with 24 divisors.