The number 34144
34144 is a composite number with 24 divisors. Its prime factorisation is × 11 × 97. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 97, 176, 194, 352, 388, 776 … 34144.
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How to work it out
- 1
What is special about 34144: a Harshad number: divisible by its digit sum 16.
- 2
34144 is composite. Its prime factorisation is
- 3
The divisors add up to 74088; without 34144 itself that is 39944, so 34144 is abundant (39944 is more than 34144). Euler's totient φ(34144) = 15360 numbers up to 34144 share no factor with it.
- 4
The digits of 34144 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34144 = 2^{5} \times 11 \times 97 \]34144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74088 |
| Euler totient φ(n) | 15360 |
| Square | 1165812736 |
| Cube | 39805510057984 |
| Square root | 184.780951 (= 4√2134) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.4144 × |
34144 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and forty-four |
| Binary (base 2) | 1000010101100000 |
| Octal (base 8) | 102540 |
| Hexadecimal (base 16) | 8560 |
| Base 3 | 1201211121 |
| As time | 34144 seconds = 9 h 29 min 4 s |
Is 34144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34144 ÷ 2 = 17072) | 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 (34144 ÷ 4 = 8536) | 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 | No (remainder 5) | 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 (34144 ÷ 8 = 4268) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34144 ÷ 11 = 3104) | 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 34144 a prime number?
No. 34144 = × 11 × 97, so it is divisible by 2.
What are the factors of 34144?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 97, 176, 194, 352, 388, 776, 1067, 1552, 2134, 3104, 4268, 8536, 17072, 34144.
What is 34144 in binary?
1000010101100000 (hexadecimal 8560, octal 102540).
What is the square root of 34144?
About 184.7810, exactly 4√2134.
Is 34144 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 34144?
34144 is a Harshad number: divisible by its digit sum 16.