The number 34940
34940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1747. Divisors (12): 1, 2, 4, 5, 10, 20, 1747, 3494, 6988, 8735, 17470, 34940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34940: a Harshad number: divisible by its digit sum 20.
- 2
34940 is composite. Its prime factorisation is
- 3
The divisors add up to 73416; without 34940 itself that is 38476, so 34940 is abundant (38476 is more than 34940). Euler's totient φ(34940) = 13968 numbers up to 34940 share no factor with it.
- 4
The digits of 34940 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34940 = 2^{2} \times 5 \times 1747 \]34940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73416 |
| Euler totient φ(n) | 13968 |
| Square | 1220803600 |
| Cube | 42654877784000 |
| Square root | 186.922444 (= 2√8735) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.494 × |
34940 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and forty |
| Binary (base 2) | 1000100001111100 |
| Octal (base 8) | 104174 |
| Hexadecimal (base 16) | 887C |
| Base 3 | 1202221002 |
| As time | 34940 seconds = 9 h 42 min 20 s |
Is 34940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34940 ÷ 2 = 17470) | 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 (34940 ÷ 4 = 8735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34940 ÷ 5 = 6988) | 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 3) | 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 (34940 ÷ 10 = 3494) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 34940 a prime number?
No. 34940 = × 5 × 1747, so it is divisible by 2.
What are the factors of 34940?
1, 2, 4, 5, 10, 20, 1747, 3494, 6988, 8735, 17470, 34940.
What is 34940 in binary?
1000100001111100 (hexadecimal 887C, octal 104174).
What is the square root of 34940?
About 186.9224, exactly 2√8735.
Is 34940 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 34940?
34940 is a Harshad number: divisible by its digit sum 20.