The number 29340
29340 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 163. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 29340.
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How to work it out
- 1
What is special about 29340: a Harshad number: divisible by its digit sum 18.
- 2
29340 is composite. Its prime factorisation is
- 3
The divisors add up to 89544; without 29340 itself that is 60204, so 29340 is abundant (60204 is more than 29340). Euler's totient φ(29340) = 7776 numbers up to 29340 share no factor with it.
- 4
The digits of 29340 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29340 = 2^{2} \times 3^{2} \times 5 \times 163 \]29340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 89544 |
| Euler totient φ(n) | 7776 |
| Square | 860835600 |
| Cube | 25256916504000 |
| Square root | 171.289229 (= 6√815) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.934 × |
29340 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and forty |
| Binary (base 2) | 111001010011100 |
| Octal (base 8) | 71234 |
| Hexadecimal (base 16) | 729C |
| Base 3 | 1111020200 |
| As time | 29340 seconds = 8 h 9 min 0 s |
Is 29340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29340 ÷ 2 = 14670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29340 ÷ 3 = 9780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29340 ÷ 4 = 7335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29340 ÷ 5 = 5868) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29340 ÷ 6 = 4890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (29340 ÷ 9 = 3260) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29340 ÷ 10 = 2934) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29340 ÷ 12 = 2445) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29340 a prime number?
No. 29340 = × × 5 × 163, so it is divisible by 2.
What are the factors of 29340?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 163, 180, 326, 489, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4890, 5868, 7335, 9780, 14670, 29340.
What is 29340 in binary?
111001010011100 (hexadecimal 729C, octal 71234).
What is the square root of 29340?
About 171.2892, exactly 6√815.
Is 29340 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29340?
29340 is a Harshad number: divisible by its digit sum 18.