The number 35400
35400 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 59. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 35400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35400: a Harshad number: divisible by its digit sum 12.
- 2
35400 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 35400 itself that is 76200, so 35400 is abundant (76200 is more than 35400). Euler's totient φ(35400) = 9280 numbers up to 35400 share no factor with it.
- 4
The digits of 35400 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35400 = 2^{3} \times 3 \times 5^{2} \times 59 \]35400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 9280 |
| Square | 1253160000 |
| Cube | 44361864000000 |
| Square root | 188.148877 (= 10√354) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.54 × |
35400 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred |
| Binary (base 2) | 1000101001001000 |
| Octal (base 8) | 105110 |
| Hexadecimal (base 16) | 8A48 |
| Base 3 | 1210120010 |
| As time | 35400 seconds = 9 h 50 min 0 s |
Is 35400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35400 ÷ 2 = 17700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35400 ÷ 3 = 11800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35400 ÷ 4 = 8850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35400 ÷ 5 = 7080) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35400 ÷ 6 = 5900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (35400 ÷ 8 = 4425) | 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 (35400 ÷ 10 = 3540) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35400 ÷ 12 = 2950) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35400 a prime number?
No. 35400 = × 3 × × 59, so it is divisible by 2.
What are the factors of 35400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 59, 60, 75, 100, 118, 120, 150, 177, 200, 236, 295, 300, 354, 472, 590, 600, 708, 885, 1180, 1416, 1475, 1770, 2360, 2950, 3540, 4425, 5900, 7080, 8850, 11800, 17700, 35400.
What is 35400 in binary?
1000101001001000 (hexadecimal 8A48, octal 105110).
What is the square root of 35400?
About 188.1489, exactly 10√354.
Is 35400 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 35400?
35400 is a Harshad number: divisible by its digit sum 12.