The number 74320
74320 is a composite number with 20 divisors. Its prime factorisation is × 5 × 929. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 929, 1858, 3716, 4645, 7432, 9290 … 74320.
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How to work it out
- 1
What is special about 74320: a Harshad number: divisible by its digit sum 16.
- 2
74320 is composite. Its prime factorisation is
- 3
The divisors add up to 172980; without 74320 itself that is 98660, so 74320 is abundant (98660 is more than 74320). Euler's totient φ(74320) = 29696 numbers up to 74320 share no factor with it.
- 4
The digits of 74320 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74320 = 2^{4} \times 5 \times 929 \]74320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 172980 |
| Euler totient φ(n) | 29696 |
| Square | 5523462400 |
| Cube | 410503725568000 |
| Square root | 272.616947 (= 4√4645) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.432 × |
74320 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and twenty |
| Binary (base 2) | 10010001001010000 |
| Octal (base 8) | 221120 |
| Hexadecimal (base 16) | 12250 |
| Base 3 | 10202221121 |
| As time | 74320 seconds = 20 h 38 min 40 s |
Is 74320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74320 ÷ 2 = 37160) | 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 (74320 ÷ 4 = 18580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74320 ÷ 5 = 14864) | 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 | Yes (74320 ÷ 8 = 9290) | 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 (74320 ÷ 10 = 7432) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74320 a prime number?
No. 74320 = × 5 × 929, so it is divisible by 2.
What are the factors of 74320?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 929, 1858, 3716, 4645, 7432, 9290, 14864, 18580, 37160, 74320.
What is 74320 in binary?
10010001001010000 (hexadecimal 12250, octal 221120).
What is the square root of 74320?
About 272.6169, exactly 4√4645.
Is 74320 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74320?
74320 is a Harshad number: divisible by its digit sum 16.