The number 49340
49340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2467. Divisors (12): 1, 2, 4, 5, 10, 20, 2467, 4934, 9868, 12335, 24670, 49340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49340: a Harshad number: divisible by its digit sum 20.
- 2
49340 is composite. Its prime factorisation is
- 3
The divisors add up to 103656; without 49340 itself that is 54316, so 49340 is abundant (54316 is more than 49340). Euler's totient φ(49340) = 19728 numbers up to 49340 share no factor with it.
- 4
The digits of 49340 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49340 = 2^{2} \times 5 \times 2467 \]49340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103656 |
| Euler totient φ(n) | 19728 |
| Square | 2434435600 |
| Cube | 120115052504000 |
| Square root | 222.126090 (= 2√12335) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.934 × |
49340 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and forty |
| Binary (base 2) | 1100000010111100 |
| Octal (base 8) | 140274 |
| Hexadecimal (base 16) | C0BC |
| Base 3 | 2111200102 |
| As time | 49340 seconds = 13 h 42 min 20 s |
Is 49340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49340 ÷ 2 = 24670) | 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 (49340 ÷ 4 = 12335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49340 ÷ 5 = 9868) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49340 ÷ 10 = 4934) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 49340 a prime number?
No. 49340 = × 5 × 2467, so it is divisible by 2.
What are the factors of 49340?
1, 2, 4, 5, 10, 20, 2467, 4934, 9868, 12335, 24670, 49340.
What is 49340 in binary?
1100000010111100 (hexadecimal C0BC, octal 140274).
What is the square root of 49340?
About 222.1261, exactly 2√12335.
Is 49340 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 49340?
49340 is a Harshad number: divisible by its digit sum 20.