The number 3430
3430 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × . Divisors (16): 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3430: a Harshad number: divisible by its digit sum 10.
- 2
3430 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 3430 itself that is 3770, so 3430 is abundant (3770 is more than 3430). Euler's totient φ(3430) = 1176 numbers up to 3430 share no factor with it.
- 4
The digits of 3430 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3430 = 2 \times 5 \times 7^{3} \]3430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 1176 |
| Square | 11764900 |
| Cube | 40353607000 |
| Square root | 58.566202 (= 7√70) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.43 × |
3430 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and thirty |
| Roman numerals | MMMCDXXX |
| Binary (base 2) | 110101100110 |
| Octal (base 8) | 6546 |
| Hexadecimal (base 16) | D66 |
| Base 3 | 11201001 |
| As time | 3430 seconds = 57 min 10 s |
Is 3430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3430 ÷ 2 = 1715) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3430 ÷ 5 = 686) | 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 | Yes (3430 ÷ 7 = 490) | 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 6) | 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 (3430 ÷ 10 = 343) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3430 a prime number?
No. 3430 = 2 × 5 × , so it is divisible by 2.
What are the factors of 3430?
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430.
What is 3430 in binary?
110101100110 (hexadecimal D66, octal 6546).
What is the square root of 3430?
About 58.5662, exactly 7√70.
What is 3430 in Roman numerals?
MMMCDXXX.
Is 3430 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3430?
3430 is a Harshad number: divisible by its digit sum 10.