The number 35340
35340 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 19 × 31. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 31, 38, 57, 60 … 35340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35340: a Harshad number: divisible by its digit sum 15.
- 2
35340 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 35340 itself that is 72180, so 35340 is abundant (72180 is more than 35340). Euler's totient φ(35340) = 8640 numbers up to 35340 share no factor with it.
- 4
The digits of 35340 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35340 = 2^{2} \times 3 \times 5 \times 19 \times 31 \]35340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 8640 |
| Square | 1248915600 |
| Cube | 44136677304000 |
| Square root | 187.989361 (= 2√8835) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.534 × |
35340 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and forty |
| Binary (base 2) | 1000101000001100 |
| Octal (base 8) | 105014 |
| Hexadecimal (base 16) | 8A0C |
| Base 3 | 1210110220 |
| As time | 35340 seconds = 9 h 49 min 0 s |
Is 35340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35340 ÷ 2 = 17670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35340 ÷ 3 = 11780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35340 ÷ 4 = 8835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35340 ÷ 5 = 7068) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35340 ÷ 6 = 5890) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35340 ÷ 10 = 3534) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35340 ÷ 12 = 2945) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35340 a prime number?
No. 35340 = × 3 × 5 × 19 × 31, so it is divisible by 2.
What are the factors of 35340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 31, 38, 57, 60, 62, 76, 93, 95, 114, 124, 155, 186, 190, 228, 285, 310, 372, 380, 465, 570, 589, 620, 930, 1140, 1178, 1767, 1860, 2356, 2945, 3534, 5890, 7068, 8835, 11780, 17670, 35340.
What is 35340 in binary?
1000101000001100 (hexadecimal 8A0C, octal 105014).
What is the square root of 35340?
About 187.9894, exactly 2√8835.
Is 35340 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 35340?
35340 is a Harshad number: divisible by its digit sum 15.