The number 34428
34428 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 151. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 151, 228, 302, 453, 604 … 34428.
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How to work it out
- 1
What is special about 34428: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34428 is composite. Its prime factorisation is
- 3
The divisors add up to 85120; without 34428 itself that is 50692, so 34428 is abundant (50692 is more than 34428). Euler's totient φ(34428) = 10800 numbers up to 34428 share no factor with it.
- 4
The digits of 34428 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34428 = 2^{2} \times 3 \times 19 \times 151 \]34428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 85120 |
| Euler totient φ(n) | 10800 |
| Square | 1185287184 |
| Cube | 40807067170752 |
| Square root | 185.547837 (= 2√8607) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4428 × |
34428 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and twenty-eight |
| Binary (base 2) | 1000011001111100 |
| Octal (base 8) | 103174 |
| Hexadecimal (base 16) | 867C |
| Base 3 | 1202020010 |
| As time | 34428 seconds = 9 h 33 min 48 s |
Is 34428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34428 ÷ 2 = 17214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34428 ÷ 3 = 11476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34428 ÷ 4 = 8607) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34428 ÷ 6 = 5738) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34428 ÷ 12 = 2869) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34428 a prime number?
No. 34428 = × 3 × 19 × 151, so it is divisible by 2.
What are the factors of 34428?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 151, 228, 302, 453, 604, 906, 1812, 2869, 5738, 8607, 11476, 17214, 34428.
What is 34428 in binary?
1000011001111100 (hexadecimal 867C, octal 103174).
What is the square root of 34428?
About 185.5478, exactly 2√8607.
Is 34428 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 34428?
34428 is a happy number: repeatedly adding the squares of its digits reaches 1.