The number 33640
33640 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 841 … 33640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33640: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33640 is composite. Its prime factorisation is
- 3
The divisors add up to 78390; without 33640 itself that is 44750, so 33640 is abundant (44750 is more than 33640). Euler's totient φ(33640) = 12992 numbers up to 33640 share no factor with it.
- 4
The digits of 33640 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33640 = 2^{3} \times 5 \times 29^{2} \]33640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78390 |
| Euler totient φ(n) | 12992 |
| Square | 1131649600 |
| Cube | 38068692544000 |
| Square root | 183.412104 (= 58√10) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.364 × |
33640 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and forty |
| Binary (base 2) | 1000001101101000 |
| Octal (base 8) | 101550 |
| Hexadecimal (base 16) | 8368 |
| Base 3 | 1201010221 |
| As time | 33640 seconds = 9 h 20 min 40 s |
Is 33640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33640 ÷ 2 = 16820) | 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 (33640 ÷ 4 = 8410) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33640 ÷ 5 = 6728) | 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 (33640 ÷ 8 = 4205) | 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 (33640 ÷ 10 = 3364) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 33640 a prime number?
No. 33640 = × 5 × , so it is divisible by 2.
What are the factors of 33640?
1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 841, 1160, 1682, 3364, 4205, 6728, 8410, 16820, 33640.
What is 33640 in binary?
1000001101101000 (hexadecimal 8368, octal 101550).
What is the square root of 33640?
About 183.4121, exactly 58√10.
Is 33640 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33640?
33640 is a happy number: repeatedly adding the squares of its digits reaches 1.