The number 40340
40340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2017. Divisors (12): 1, 2, 4, 5, 10, 20, 2017, 4034, 8068, 10085, 20170, 40340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40340 is composite. Its prime factorisation is
- 3
The divisors add up to 84756; without 40340 itself that is 44416, so 40340 is abundant (44416 is more than 40340). Euler's totient φ(40340) = 16128 numbers up to 40340 share no factor with it.
- 4
The digits of 40340 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40340 = 2^{2} \times 5 \times 2017 \]40340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84756 |
| Euler totient φ(n) | 16128 |
| Square | 1627315600 |
| Cube | 65645911304000 |
| Square root | 200.848201 (= 2√10085) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.034 × |
40340 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and forty |
| Binary (base 2) | 1001110110010100 |
| Octal (base 8) | 116624 |
| Hexadecimal (base 16) | 9D94 |
| Base 3 | 2001100002 |
| As time | 40340 seconds = 11 h 12 min 20 s |
Is 40340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40340 ÷ 2 = 20170) | 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 (40340 ÷ 4 = 10085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40340 ÷ 5 = 8068) | 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 6) | 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 (40340 ÷ 10 = 4034) | 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 40340 a prime number?
No. 40340 = × 5 × 2017, so it is divisible by 2.
What are the factors of 40340?
1, 2, 4, 5, 10, 20, 2017, 4034, 8068, 10085, 20170, 40340.
What is 40340 in binary?
1001110110010100 (hexadecimal 9D94, octal 116624).
What is the square root of 40340?
About 200.8482, exactly 2√10085.
Is 40340 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40340?
It is a composite number with 12 divisors.