The number 35364
35364 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 421. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 421, 842, 1263, 1684 … 35364.
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How to work it out
- 1
What is special about 35364: a Harshad number: divisible by its digit sum 21.
- 2
35364 is composite. Its prime factorisation is
- 3
The divisors add up to 94528; without 35364 itself that is 59164, so 35364 is abundant (59164 is more than 35364). Euler's totient φ(35364) = 10080 numbers up to 35364 share no factor with it.
- 4
The digits of 35364 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35364 = 2^{2} \times 3 \times 7 \times 421 \]35364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 94528 |
| Euler totient φ(n) | 10080 |
| Square | 1250612496 |
| Cube | 44226660308544 |
| Square root | 188.053184 (= 2√8841) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5364 × |
35364 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and sixty-four |
| Binary (base 2) | 1000101000100100 |
| Octal (base 8) | 105044 |
| Hexadecimal (base 16) | 8A24 |
| Base 3 | 1210111210 |
| As time | 35364 seconds = 9 h 49 min 24 s |
Is 35364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35364 ÷ 2 = 17682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35364 ÷ 3 = 11788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35364 ÷ 4 = 8841) | 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 | Yes (35364 ÷ 6 = 5894) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35364 ÷ 7 = 5052) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35364 ÷ 12 = 2947) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35364 a prime number?
No. 35364 = × 3 × 7 × 421, so it is divisible by 2.
What are the factors of 35364?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 421, 842, 1263, 1684, 2526, 2947, 5052, 5894, 8841, 11788, 17682, 35364.
What is 35364 in binary?
1000101000100100 (hexadecimal 8A24, octal 105044).
What is the square root of 35364?
About 188.0532, exactly 2√8841.
Is 35364 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35364?
35364 is a Harshad number: divisible by its digit sum 21.