The number 34364
34364 is a composite number with 18 divisors. Its prime factorisation is × × 71. Divisors (18): 1, 2, 4, 11, 22, 44, 71, 121, 142, 242, 284, 484, 781, 1562, 3124, 8591 … 34364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34364: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34364 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 34364 itself that is 32668, so 34364 is deficient (32668 is less than 34364). Euler's totient φ(34364) = 15400 numbers up to 34364 share no factor with it.
- 4
The digits of 34364 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34364 = 2^{2} \times 11^{2} \times 71 \]34364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 15400 |
| Square | 1180884496 |
| Cube | 40579914820544 |
| Square root | 185.375295 (= 22√71) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4364 × |
34364 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand three hundred and sixty-four |
| Binary (base 2) | 1000011000111100 |
| Octal (base 8) | 103074 |
| Hexadecimal (base 16) | 863C |
| Base 3 | 1202010202 |
| As time | 34364 seconds = 9 h 32 min 44 s |
Is 34364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34364 ÷ 2 = 17182) | 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 (34364 ÷ 4 = 8591) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34364 ÷ 11 = 3124) | 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 34364 a prime number?
No. 34364 = × × 71, so it is divisible by 2.
What are the factors of 34364?
1, 2, 4, 11, 22, 44, 71, 121, 142, 242, 284, 484, 781, 1562, 3124, 8591, 17182, 34364.
What is 34364 in binary?
1000011000111100 (hexadecimal 863C, octal 103074).
What is the square root of 34364?
About 185.3753, exactly 22√71.
Is 34364 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 34364?
34364 is a happy number: repeatedly adding the squares of its digits reaches 1.