The number 35464
35464 is a composite number with 32 divisors. Its prime factorisation is × 11 × 13 × 31. Divisors (32): 1, 2, 4, 8, 11, 13, 22, 26, 31, 44, 52, 62, 88, 104, 124, 143 … 35464.
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How to work it out
- 1
What is special about 35464: a Harshad number: divisible by its digit sum 22.
- 2
35464 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 35464 itself that is 45176, so 35464 is abundant (45176 is more than 35464). Euler's totient φ(35464) = 14400 numbers up to 35464 share no factor with it.
- 4
The digits of 35464 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35464 = 2^{3} \times 11 \times 13 \times 31 \]35464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 14400 |
| Square | 1257695296 |
| Cube | 44602905977344 |
| Square root | 188.318879 (= 2√8866) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5464 × |
35464 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and sixty-four |
| Binary (base 2) | 1000101010001000 |
| Octal (base 8) | 105210 |
| Hexadecimal (base 16) | 8A88 |
| Base 3 | 1210122111 |
| As time | 35464 seconds = 9 h 51 min 4 s |
Is 35464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35464 ÷ 2 = 17732) | 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 (35464 ÷ 4 = 8866) | 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 2) | 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 (35464 ÷ 8 = 4433) | 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 | Yes (35464 ÷ 11 = 3224) | 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 35464 a prime number?
No. 35464 = × 11 × 13 × 31, so it is divisible by 2.
What are the factors of 35464?
1, 2, 4, 8, 11, 13, 22, 26, 31, 44, 52, 62, 88, 104, 124, 143, 248, 286, 341, 403, 572, 682, 806, 1144, 1364, 1612, 2728, 3224, 4433, 8866, 17732, 35464.
What is 35464 in binary?
1000101010001000 (hexadecimal 8A88, octal 105210).
What is the square root of 35464?
About 188.3189, exactly 2√8866.
Is 35464 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 35464?
35464 is a Harshad number: divisible by its digit sum 22.