The number 3340
3340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 167. Divisors (12): 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3340: a Harshad number: divisible by its digit sum 10.
- 2
3340 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 3340 itself that is 3716, so 3340 is abundant (3716 is more than 3340). Euler's totient φ(3340) = 1328 numbers up to 3340 share no factor with it.
- 4
The digits of 3340 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3340 = 2^{2} \times 5 \times 167 \]3340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 1328 |
| Square | 11155600 |
| Cube | 37259704000 |
| Square root | 57.792733 (= 2√835) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.34 × |
3340 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty |
| Roman numerals | MMMCCCXL |
| Binary (base 2) | 110100001100 |
| Octal (base 8) | 6414 |
| Hexadecimal (base 16) | D0C |
| Base 3 | 11120201 |
| As time | 3340 seconds = 55 min 40 s |
Is 3340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3340 ÷ 2 = 1670) | 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 (3340 ÷ 4 = 835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3340 ÷ 5 = 668) | 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 | No (remainder 4) | 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 (3340 ÷ 10 = 334) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 3340 a prime number?
No. 3340 = × 5 × 167, so it is divisible by 2.
What are the factors of 3340?
1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340.
What is 3340 in binary?
110100001100 (hexadecimal D0C, octal 6414).
What is the square root of 3340?
About 57.7927, exactly 2√835.
What is 3340 in Roman numerals?
MMMCCCXL.
Is 3340 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3340?
3340 is a Harshad number: divisible by its digit sum 10.