The number 35440
35440 is a composite number with 20 divisors. Its prime factorisation is × 5 × 443. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 443, 886, 1772, 2215, 3544, 4430 … 35440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35440: a Harshad number: divisible by its digit sum 16.
- 2
35440 is composite. Its prime factorisation is
- 3
The divisors add up to 82584; without 35440 itself that is 47144, so 35440 is abundant (47144 is more than 35440). Euler's totient φ(35440) = 14144 numbers up to 35440 share no factor with it.
- 4
The digits of 35440 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35440 = 2^{4} \times 5 \times 443 \]35440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 82584 |
| Euler totient φ(n) | 14144 |
| Square | 1255993600 |
| Cube | 44512413184000 |
| Square root | 188.255146 (= 4√2215) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.544 × |
35440 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and forty |
| Binary (base 2) | 1000101001110000 |
| Octal (base 8) | 105160 |
| Hexadecimal (base 16) | 8A70 |
| Base 3 | 1210121121 |
| As time | 35440 seconds = 9 h 50 min 40 s |
Is 35440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35440 ÷ 2 = 17720) | 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 (35440 ÷ 4 = 8860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35440 ÷ 5 = 7088) | 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 6) | 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 (35440 ÷ 8 = 4430) | 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 | Yes (35440 ÷ 10 = 3544) | 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 35440 a prime number?
No. 35440 = × 5 × 443, so it is divisible by 2.
What are the factors of 35440?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 443, 886, 1772, 2215, 3544, 4430, 7088, 8860, 17720, 35440.
What is 35440 in binary?
1000101001110000 (hexadecimal 8A70, octal 105160).
What is the square root of 35440?
About 188.2551, exactly 4√2215.
Is 35440 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35440?
35440 is a Harshad number: divisible by its digit sum 16.