The number 33440
33440 is a composite number with 48 divisors. Its prime factorisation is × 5 × 11 × 19. Divisors (48): 1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55 … 33440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33440 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 33440 itself that is 57280, so 33440 is abundant (57280 is more than 33440). Euler's totient φ(33440) = 11520 numbers up to 33440 share no factor with it.
- 4
The digits of 33440 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33440 = 2^{5} \times 5 \times 11 \times 19 \]33440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 11520 |
| Square | 1118233600 |
| Cube | 37393731584000 |
| Square root | 182.866071 (= 4√2090) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.344 × |
33440 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and forty |
| Binary (base 2) | 1000001010100000 |
| Octal (base 8) | 101240 |
| Hexadecimal (base 16) | 82A0 |
| Base 3 | 1200212112 |
| As time | 33440 seconds = 9 h 17 min 20 s |
Is 33440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33440 ÷ 2 = 16720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33440 ÷ 4 = 8360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33440 ÷ 5 = 6688) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (33440 ÷ 8 = 4180) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33440 ÷ 10 = 3344) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33440 ÷ 11 = 3040) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33440 a prime number?
No. 33440 = × 5 × 11 × 19, so it is divisible by 2.
What are the factors of 33440?
1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55, 76, 80, 88, 95, 110, 152, 160, 176, 190, 209, 220, 304, 352, 380, 418, 440, 608, 760, 836, 880, 1045, 1520, 1672, 1760, 2090, 3040, 3344, 4180, 6688, 8360, 16720, 33440.
What is 33440 in binary?
1000001010100000 (hexadecimal 82A0, octal 101240).
What is the square root of 33440?
About 182.8661, exactly 4√2090.
Is 33440 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33440?
It is a composite number with 48 divisors.