The number 33240
33240 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 277. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 33240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33240: a Harshad number: divisible by its digit sum 12.
- 2
33240 is composite. Its prime factorisation is
- 3
The divisors add up to 100080; without 33240 itself that is 66840, so 33240 is abundant (66840 is more than 33240). Euler's totient φ(33240) = 8832 numbers up to 33240 share no factor with it.
- 4
The digits of 33240 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33240 = 2^{3} \times 3 \times 5 \times 277 \]33240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100080 |
| Euler totient φ(n) | 8832 |
| Square | 1104897600 |
| Cube | 36726796224000 |
| Square root | 182.318403 (= 2√8310) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.324 × |
33240 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and forty |
| Binary (base 2) | 1000000111011000 |
| Octal (base 8) | 100730 |
| Hexadecimal (base 16) | 81D8 |
| Base 3 | 1200121010 |
| As time | 33240 seconds = 9 h 14 min 0 s |
Is 33240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33240 ÷ 2 = 16620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33240 ÷ 3 = 11080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33240 ÷ 4 = 8310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33240 ÷ 5 = 6648) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33240 ÷ 6 = 5540) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (33240 ÷ 8 = 4155) | 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 | Yes (33240 ÷ 10 = 3324) | 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 | Yes (33240 ÷ 12 = 2770) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33240 a prime number?
No. 33240 = × 3 × 5 × 277, so it is divisible by 2.
What are the factors of 33240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620, 33240.
What is 33240 in binary?
1000000111011000 (hexadecimal 81D8, octal 100730).
What is the square root of 33240?
About 182.3184, exactly 2√8310.
Is 33240 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33240?
33240 is a Harshad number: divisible by its digit sum 12.