The number 33450
33450 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 223. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 223, 446, 669, 1115 … 33450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33450: a Harshad number: divisible by its digit sum 15.
- 2
33450 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 33450 itself that is 49878, so 33450 is abundant (49878 is more than 33450). Euler's totient φ(33450) = 8880 numbers up to 33450 share no factor with it.
- 4
The digits of 33450 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33450 = 2 \times 3 \times 5^{2} \times 223 \]33450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 8880 |
| Square | 1118902500 |
| Cube | 37427288625000 |
| Square root | 182.893412 (= 5√1338) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.345 × |
33450 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and fifty |
| Binary (base 2) | 1000001010101010 |
| Octal (base 8) | 101252 |
| Hexadecimal (base 16) | 82AA |
| Base 3 | 1200212220 |
| As time | 33450 seconds = 9 h 17 min 30 s |
Is 33450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33450 ÷ 2 = 16725) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33450 ÷ 3 = 11150) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33450 ÷ 5 = 6690) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33450 ÷ 6 = 5575) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33450 ÷ 10 = 3345) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33450 a prime number?
No. 33450 = 2 × 3 × × 223, so it is divisible by 2.
What are the factors of 33450?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 223, 446, 669, 1115, 1338, 2230, 3345, 5575, 6690, 11150, 16725, 33450.
What is 33450 in binary?
1000001010101010 (hexadecimal 82AA, octal 101252).
What is the square root of 33450?
About 182.8934, exactly 5√1338.
Is 33450 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33450?
33450 is a Harshad number: divisible by its digit sum 15.