The number 34420
34420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1721. Divisors (12): 1, 2, 4, 5, 10, 20, 1721, 3442, 6884, 8605, 17210, 34420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34420 is composite. Its prime factorisation is
- 3
The divisors add up to 72324; without 34420 itself that is 37904, so 34420 is abundant (37904 is more than 34420). Euler's totient φ(34420) = 13760 numbers up to 34420 share no factor with it.
- 4
The digits of 34420 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34420 = 2^{2} \times 5 \times 1721 \]34420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72324 |
| Euler totient φ(n) | 13760 |
| Square | 1184736400 |
| Cube | 40778626888000 |
| Square root | 185.526278 (= 2√8605) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.442 × |
34420 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and twenty |
| Binary (base 2) | 1000011001110100 |
| Octal (base 8) | 103164 |
| Hexadecimal (base 16) | 8674 |
| Base 3 | 1202012211 |
| As time | 34420 seconds = 9 h 33 min 40 s |
Is 34420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34420 ÷ 2 = 17210) | 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 (34420 ÷ 4 = 8605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34420 ÷ 5 = 6884) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34420 ÷ 10 = 3442) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 34420 a prime number?
No. 34420 = × 5 × 1721, so it is divisible by 2.
What are the factors of 34420?
1, 2, 4, 5, 10, 20, 1721, 3442, 6884, 8605, 17210, 34420.
What is 34420 in binary?
1000011001110100 (hexadecimal 8674, octal 103164).
What is the square root of 34420?
About 185.5263, exactly 2√8605.
Is 34420 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 34420?
It is a composite number with 12 divisors.