The number 3450
3450 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 23. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138 … 3450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3450 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3450 is composite. Its prime factorisation is
- 3
The divisors add up to 8928; without 3450 itself that is 5478, so 3450 is abundant (5478 is more than 3450). Euler's totient φ(3450) = 880 numbers up to 3450 share no factor with it.
- 4
The digits of 3450 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3450 = 2 \times 3 \times 5^{2} \times 23 \]3450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8928 |
| Euler totient φ(n) | 880 |
| Square | 11902500 |
| Cube | 41063625000 |
| Square root | 58.736701 (= 5√138) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.45 × |
3450 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and fifty |
| Roman numerals | MMMCDL |
| Binary (base 2) | 110101111010 |
| Octal (base 8) | 6572 |
| Hexadecimal (base 16) | D7A |
| Base 3 | 11201210 |
| As time | 3450 seconds = 57 min 30 s |
Is 3450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3450 ÷ 2 = 1725) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3450 ÷ 3 = 1150) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3450 ÷ 5 = 690) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3450 ÷ 6 = 575) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3450 ÷ 10 = 345) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3450 a prime number?
No. 3450 = 2 × 3 × × 23, so it is divisible by 2.
What are the factors of 3450?
1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450.
What is 3450 in binary?
110101111010 (hexadecimal D7A, octal 6572).
What is the square root of 3450?
About 58.7367, exactly 5√138.
What is 3450 in Roman numerals?
MMMCDL.
Is 3450 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3450?
It is a composite number with 24 divisors.