The number 67400
67400 is a composite number with 24 divisors. Its prime factorisation is × × 337. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 337, 674, 1348, 1685 … 67400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67400 is composite. Its prime factorisation is
- 3
The divisors add up to 157170; without 67400 itself that is 89770, so 67400 is abundant (89770 is more than 67400). Euler's totient φ(67400) = 26880 numbers up to 67400 share no factor with it.
- 4
The digits of 67400 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67400 = 2^{3} \times 5^{2} \times 337 \]67400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 157170 |
| Euler totient φ(n) | 26880 |
| Square | 4542760000 |
| Cube | 306182024000000 |
| Square root | 259.615100 (= 10√674) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.74 × |
67400 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred |
| Binary (base 2) | 10000011101001000 |
| Octal (base 8) | 203510 |
| Hexadecimal (base 16) | 10748 |
| Base 3 | 10102110022 |
| As time | 67400 seconds = 18 h 43 min 20 s |
Is 67400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67400 ÷ 2 = 33700) | 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 (67400 ÷ 4 = 16850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67400 ÷ 5 = 13480) | 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 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 (67400 ÷ 8 = 8425) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67400 ÷ 10 = 6740) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 67400 a prime number?
No. 67400 = × × 337, so it is divisible by 2.
What are the factors of 67400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 337, 674, 1348, 1685, 2696, 3370, 6740, 8425, 13480, 16850, 33700, 67400.
What is 67400 in binary?
10000011101001000 (hexadecimal 10748, octal 203510).
What is the square root of 67400?
About 259.6151, exactly 10√674.
Is 67400 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67400?
It is a composite number with 24 divisors.