The number 67348
67348 is a composite number with 12 divisors. Its prime factorisation is × 113 × 149. Divisors (12): 1, 2, 4, 113, 149, 226, 298, 452, 596, 16837, 33674, 67348.
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How to work it out
- 1
67348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67348 is composite. Its prime factorisation is
- 3
The divisors add up to 119700; without 67348 itself that is 52352, so 67348 is deficient (52352 is less than 67348). Euler's totient φ(67348) = 33152 numbers up to 67348 share no factor with it.
- 4
The digits of 67348 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67348 = 2^{2} \times 113 \times 149 \]67348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119700 |
| Euler totient φ(n) | 33152 |
| Square | 4535753104 |
| Cube | 305473900048192 |
| Square root | 259.514932 (= 2√16837) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7348 × |
67348 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and forty-eight |
| Binary (base 2) | 10000011100010100 |
| Octal (base 8) | 203424 |
| Hexadecimal (base 16) | 10714 |
| Base 3 | 10102101101 |
| As time | 67348 seconds = 18 h 42 min 28 s |
Is 67348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67348 ÷ 2 = 33674) | 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 (67348 ÷ 4 = 16837) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 67348 a prime number?
No. 67348 = × 113 × 149, so it is divisible by 2.
What are the factors of 67348?
1, 2, 4, 113, 149, 226, 298, 452, 596, 16837, 33674, 67348.
What is 67348 in binary?
10000011100010100 (hexadecimal 10714, octal 203424).
What is the square root of 67348?
About 259.5149, exactly 2√16837.
Is 67348 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67348?
It is a composite number with 12 divisors.