The number 23340
23340 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 389. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 389, 778, 1167, 1556 … 23340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23340: a Harshad number: divisible by its digit sum 12.
- 2
23340 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 23340 itself that is 42180, so 23340 is abundant (42180 is more than 23340). Euler's totient φ(23340) = 6208 numbers up to 23340 share no factor with it.
- 4
The digits of 23340 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23340 = 2^{2} \times 3 \times 5 \times 389 \]23340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 6208 |
| Square | 544755600 |
| Cube | 12714595704000 |
| Square root | 152.774343 (= 2√5835) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.334 × |
23340 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and forty |
| Binary (base 2) | 101101100101100 |
| Octal (base 8) | 55454 |
| Hexadecimal (base 16) | 5B2C |
| Base 3 | 1012000110 |
| As time | 23340 seconds = 6 h 29 min 0 s |
Is 23340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23340 ÷ 2 = 11670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23340 ÷ 3 = 7780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23340 ÷ 4 = 5835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23340 ÷ 5 = 4668) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23340 ÷ 6 = 3890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23340 ÷ 10 = 2334) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23340 ÷ 12 = 1945) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23340 a prime number?
No. 23340 = × 3 × 5 × 389, so it is divisible by 2.
What are the factors of 23340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 389, 778, 1167, 1556, 1945, 2334, 3890, 4668, 5835, 7780, 11670, 23340.
What is 23340 in binary?
101101100101100 (hexadecimal 5B2C, octal 55454).
What is the square root of 23340?
About 152.7743, exactly 2√5835.
Is 23340 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23340?
23340 is a Harshad number: divisible by its digit sum 12.