The number 34840
34840 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 67. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 67, 104, 130, 134 … 34840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34840 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 34840 itself that is 50840, so 34840 is abundant (50840 is more than 34840). Euler's totient φ(34840) = 12672 numbers up to 34840 share no factor with it.
- 4
The digits of 34840 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34840 = 2^{3} \times 5 \times 13 \times 67 \]34840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 12672 |
| Square | 1213825600 |
| Cube | 42289683904000 |
| Square root | 186.654762 (= 2√8710) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.484 × |
34840 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and forty |
| Binary (base 2) | 1000100000011000 |
| Octal (base 8) | 104030 |
| Hexadecimal (base 16) | 8818 |
| Base 3 | 1202210101 |
| As time | 34840 seconds = 9 h 40 min 40 s |
Is 34840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34840 ÷ 2 = 17420) | 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 (34840 ÷ 4 = 8710) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34840 ÷ 5 = 6968) | 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 (34840 ÷ 8 = 4355) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34840 ÷ 10 = 3484) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34840 a prime number?
No. 34840 = × 5 × 13 × 67, so it is divisible by 2.
What are the factors of 34840?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 67, 104, 130, 134, 260, 268, 335, 520, 536, 670, 871, 1340, 1742, 2680, 3484, 4355, 6968, 8710, 17420, 34840.
What is 34840 in binary?
1000100000011000 (hexadecimal 8818, octal 104030).
What is the square root of 34840?
About 186.6548, exactly 2√8710.
Is 34840 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 34840?
It is a composite number with 32 divisors.