The number 35344
35344 is a perfect square (188²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 47, 94, 188, 376, 752, 2209, 4418, 8836, 17672, 35344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35344: a perfect square (188²).
- 2
35344 is composite. Its prime factorisation is
- 3
The divisors add up to 69967; without 35344 itself that is 34623, so 35344 is deficient (34623 is less than 35344). Euler's totient φ(35344) = 17296 numbers up to 35344 share no factor with it.
- 4
The digits of 35344 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35344 = 2^{4} \times 47^{2} \]35344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 69967 |
| Euler totient φ(n) | 17296 |
| Square | 1249198336 |
| Cube | 44151665987584 |
| Square root | 188 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5344 × |
| Perfect power |
35344 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and forty-four |
| Binary (base 2) | 1000101000010000 |
| Octal (base 8) | 105020 |
| Hexadecimal (base 16) | 8A10 |
| Base 3 | 1210111001 |
| As time | 35344 seconds = 9 h 49 min 4 s |
Is 35344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35344 ÷ 2 = 17672) | 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 (35344 ÷ 4 = 8836) | 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 1) | 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 (35344 ÷ 8 = 4418) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 35344 a prime number?
No. 35344 = × , so it is divisible by 2.
What are the factors of 35344?
1, 2, 4, 8, 16, 47, 94, 188, 376, 752, 2209, 4418, 8836, 17672, 35344.
What is 35344 in binary?
1000101000010000 (hexadecimal 8A10, octal 105020).
What is the square root of 35344?
188, because 188 × 188 = 35344.
Is 35344 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35344?
35344 is a perfect square (188²).