The number 33400
33400 is a composite number with 24 divisors. Its prime factorisation is × × 167. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 167, 200, 334, 668, 835 … 33400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33400: a Harshad number: divisible by its digit sum 10.
- 2
33400 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 33400 itself that is 44720, so 33400 is abundant (44720 is more than 33400). Euler's totient φ(33400) = 13280 numbers up to 33400 share no factor with it.
- 4
The digits of 33400 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33400 = 2^{3} \times 5^{2} \times 167 \]33400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 13280 |
| Square | 1115560000 |
| Cube | 37259704000000 |
| Square root | 182.756669 (= 10√334) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.34 × |
33400 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred |
| Binary (base 2) | 1000001001111000 |
| Octal (base 8) | 101170 |
| Hexadecimal (base 16) | 8278 |
| Base 3 | 1200211001 |
| As time | 33400 seconds = 9 h 16 min 40 s |
Is 33400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33400 ÷ 2 = 16700) | 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 (33400 ÷ 4 = 8350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33400 ÷ 5 = 6680) | 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 3) | 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 (33400 ÷ 8 = 4175) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33400 ÷ 10 = 3340) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 33400 a prime number?
No. 33400 = × × 167, so it is divisible by 2.
What are the factors of 33400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 167, 200, 334, 668, 835, 1336, 1670, 3340, 4175, 6680, 8350, 16700, 33400.
What is 33400 in binary?
1000001001111000 (hexadecimal 8278, octal 101170).
What is the square root of 33400?
About 182.7567, exactly 10√334.
Is 33400 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33400?
33400 is a Harshad number: divisible by its digit sum 10.