The number 76340
76340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 347. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 347, 694, 1388, 1735 … 76340.
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How to work it out
- 1
What is special about 76340: a Harshad number: divisible by its digit sum 20.
- 2
76340 is composite. Its prime factorisation is
- 3
The divisors add up to 175392; without 76340 itself that is 99052, so 76340 is abundant (99052 is more than 76340). Euler's totient φ(76340) = 27680 numbers up to 76340 share no factor with it.
- 4
The digits of 76340 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76340 = 2^{2} \times 5 \times 11 \times 347 \]76340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 175392 |
| Euler totient φ(n) | 27680 |
| Square | 5827795600 |
| Cube | 444893916104000 |
| Square root | 276.296942 (= 2√19085) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.634 × |
76340 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and forty |
| Binary (base 2) | 10010101000110100 |
| Octal (base 8) | 225064 |
| Hexadecimal (base 16) | 12A34 |
| Base 3 | 10212201102 |
| As time | 76340 seconds = 21 h 12 min 20 s |
Is 76340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76340 ÷ 2 = 38170) | 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 (76340 ÷ 4 = 19085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76340 ÷ 5 = 15268) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76340 ÷ 10 = 7634) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76340 ÷ 11 = 6940) | 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 76340 a prime number?
No. 76340 = × 5 × 11 × 347, so it is divisible by 2.
What are the factors of 76340?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 347, 694, 1388, 1735, 3470, 3817, 6940, 7634, 15268, 19085, 38170, 76340.
What is 76340 in binary?
10010101000110100 (hexadecimal 12A34, octal 225064).
What is the square root of 76340?
About 276.2969, exactly 2√19085.
Is 76340 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 76340?
76340 is a Harshad number: divisible by its digit sum 20.