The number 20340
20340 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 113. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 20340.
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How to work it out
- 1
What is special about 20340: a Harshad number: divisible by its digit sum 9.
- 2
20340 is composite. Its prime factorisation is
- 3
The divisors add up to 62244; without 20340 itself that is 41904, so 20340 is abundant (41904 is more than 20340). Euler's totient φ(20340) = 5376 numbers up to 20340 share no factor with it.
- 4
The digits of 20340 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20340 = 2^{2} \times 3^{2} \times 5 \times 113 \]20340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 62244 |
| Euler totient φ(n) | 5376 |
| Square | 413715600 |
| Cube | 8414975304000 |
| Square root | 142.618372 (= 6√565) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 2.034 × |
20340 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and forty |
| Binary (base 2) | 100111101110100 |
| Octal (base 8) | 47564 |
| Hexadecimal (base 16) | 4F74 |
| Base 3 | 1000220100 |
| As time | 20340 seconds = 5 h 39 min 0 s |
Is 20340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20340 ÷ 2 = 10170) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20340 ÷ 3 = 6780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20340 ÷ 4 = 5085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20340 ÷ 5 = 4068) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20340 ÷ 6 = 3390) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (20340 ÷ 9 = 2260) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20340 ÷ 10 = 2034) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20340 ÷ 12 = 1695) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20340 a prime number?
No. 20340 = × × 5 × 113, so it is divisible by 2.
What are the factors of 20340?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 113, 180, 226, 339, 452, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3390, 4068, 5085, 6780, 10170, 20340.
What is 20340 in binary?
100111101110100 (hexadecimal 4F74, octal 47564).
What is the square root of 20340?
About 142.6184, exactly 6√565.
Is 20340 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20340?
20340 is a Harshad number: divisible by its digit sum 9.