The number 3440
3440 is a composite number with 20 divisors. Its prime factorisation is × 5 × 43. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430 … 3440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3440 is composite. Its prime factorisation is
- 3
The divisors add up to 8184; without 3440 itself that is 4744, so 3440 is abundant (4744 is more than 3440). Euler's totient φ(3440) = 1344 numbers up to 3440 share no factor with it.
- 4
The digits of 3440 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3440 = 2^{4} \times 5 \times 43 \]3440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 8184 |
| Euler totient φ(n) | 1344 |
| Square | 11833600 |
| Cube | 40707584000 |
| Square root | 58.651513 (= 4√215) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.44 × |
3440 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and forty |
| Roman numerals | MMMCDXL |
| Binary (base 2) | 110101110000 |
| Octal (base 8) | 6560 |
| Hexadecimal (base 16) | D70 |
| Base 3 | 11201102 |
| As time | 3440 seconds = 57 min 20 s |
Is 3440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3440 ÷ 2 = 1720) | 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 (3440 ÷ 4 = 860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3440 ÷ 5 = 688) | 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 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 | Yes (3440 ÷ 8 = 430) | 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 (3440 ÷ 10 = 344) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 3440 a prime number?
No. 3440 = × 5 × 43, so it is divisible by 2.
What are the factors of 3440?
1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440.
What is 3440 in binary?
110101110000 (hexadecimal D70, octal 6560).
What is the square root of 3440?
About 58.6515, exactly 4√215.
What is 3440 in Roman numerals?
MMMCDXL.
Is 3440 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3440?
It is a composite number with 20 divisors.