The number 34384
34384 is a composite number with 20 divisors. Its prime factorisation is × 7 × 307. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 307, 614, 1228, 2149, 2456, 4298 … 34384.
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How to work it out
- 1
34384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34384 is composite. Its prime factorisation is
- 3
The divisors add up to 76384; without 34384 itself that is 42000, so 34384 is abundant (42000 is more than 34384). Euler's totient φ(34384) = 14688 numbers up to 34384 share no factor with it.
- 4
The digits of 34384 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34384 = 2^{4} \times 7 \times 307 \]34384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 76384 |
| Euler totient φ(n) | 14688 |
| Square | 1182259456 |
| Cube | 40650809135104 |
| Square root | 185.429232 (= 4√2149) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.4384 × |
34384 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand three hundred and eighty-four |
| Binary (base 2) | 1000011001010000 |
| Octal (base 8) | 103120 |
| Hexadecimal (base 16) | 8650 |
| Base 3 | 1202011111 |
| As time | 34384 seconds = 9 h 33 min 4 s |
Is 34384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34384 ÷ 2 = 17192) | 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 (34384 ÷ 4 = 8596) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34384 ÷ 7 = 4912) | 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 (34384 ÷ 8 = 4298) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | 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 34384 a prime number?
No. 34384 = × 7 × 307, so it is divisible by 2.
What are the factors of 34384?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 17192, 34384.
What is 34384 in binary?
1000011001010000 (hexadecimal 8650, octal 103120).
What is the square root of 34384?
About 185.4292, exactly 4√2149.
Is 34384 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 34384?
It is a composite number with 20 divisors.