The number 34900
34900 is a composite number with 18 divisors. Its prime factorisation is × × 349. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 349, 698, 1396, 1745, 3490, 6980, 8725 … 34900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34900 is composite. Its prime factorisation is
- 3
The divisors add up to 75950; without 34900 itself that is 41050, so 34900 is abundant (41050 is more than 34900). Euler's totient φ(34900) = 13920 numbers up to 34900 share no factor with it.
- 4
The digits of 34900 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34900 = 2^{2} \times 5^{2} \times 349 \]34900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 75950 |
| Euler totient φ(n) | 13920 |
| Square | 1218010000 |
| Cube | 42508549000000 |
| Square root | 186.815417 (= 10√349) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.49 × |
34900 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred |
| Binary (base 2) | 1000100001010100 |
| Octal (base 8) | 104124 |
| Hexadecimal (base 16) | 8854 |
| Base 3 | 1202212121 |
| As time | 34900 seconds = 9 h 41 min 40 s |
Is 34900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34900 ÷ 2 = 17450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34900 ÷ 4 = 8725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34900 ÷ 5 = 6980) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34900 ÷ 10 = 3490) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34900 a prime number?
No. 34900 = × × 349, so it is divisible by 2.
What are the factors of 34900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 349, 698, 1396, 1745, 3490, 6980, 8725, 17450, 34900.
What is 34900 in binary?
1000100001010100 (hexadecimal 8854, octal 104124).
What is the square root of 34900?
About 186.8154, exactly 10√349.
Is 34900 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 34900?
It is a composite number with 18 divisors.