The number 40338
40338 is a composite number with 24 divisors. Its prime factorisation is 2 × × 83. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 243, 249, 486, 498 … 40338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40338: a Harshad number: divisible by its digit sum 18.
- 2
40338 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 40338 itself that is 51390, so 40338 is abundant (51390 is more than 40338). Euler's totient φ(40338) = 13284 numbers up to 40338 share no factor with it.
- 4
The digits of 40338 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40338 = 2 \times 3^{5} \times 83 \]40338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 13284 |
| Square | 1627154244 |
| Cube | 65636147894472 |
| Square root | 200.843222 (= 9√498) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0338 × |
40338 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and thirty-eight |
| Binary (base 2) | 1001110110010010 |
| Octal (base 8) | 116622 |
| Hexadecimal (base 16) | 9D92 |
| Base 3 | 2001100000 |
| As time | 40338 seconds = 11 h 12 min 18 s |
Is 40338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40338 ÷ 2 = 20169) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40338 ÷ 3 = 13446) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (40338 ÷ 6 = 6723) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40338 ÷ 9 = 4482) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40338 a prime number?
No. 40338 = 2 × × 83, so it is divisible by 2.
What are the factors of 40338?
1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 243, 249, 486, 498, 747, 1494, 2241, 4482, 6723, 13446, 20169, 40338.
What is 40338 in binary?
1001110110010010 (hexadecimal 9D92, octal 116622).
What is the square root of 40338?
About 200.8432, exactly 9√498.
Is 40338 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40338?
40338 is a Harshad number: divisible by its digit sum 18.