The number 434
434 is a palindrome: it reads 434 backwards too. Its prime factorisation is 2 × 7 × 31. Divisors (8): 1, 2, 7, 14, 31, 62, 217, 434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 434: a palindrome: it reads 434 backwards too.
- 2
434 is composite. Its prime factorisation is
- 3
The divisors add up to 768; without 434 itself that is 334, so 434 is deficient (334 is less than 434). Euler's totient φ(434) = 180 numbers up to 434 share no factor with it.
- 4
The digits of 434 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 434 = 2 \times 7 \times 31 \]
434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 768 |
| Euler totient φ(n) | 180 |
| Square | 188356 |
| Cube | 81746504 |
| Square root | 20.832667 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 27 |
| Scientific notation | 4.34 × |
434 in other forms
| Form | Value |
|---|---|
| In words | four hundred and thirty-four |
| Roman numerals | CDXXXIV |
| Binary (base 2) | 110110010 |
| Octal (base 8) | 662 |
| Hexadecimal (base 16) | 1B2 |
| Base 3 | 121002 |
| As time | 434 seconds = 7 min 14 s |
Is 434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (434 ÷ 2 = 217) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (434 ÷ 7 = 62) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 434 a prime number?
No. 434 = 2 × 7 × 31, so it is divisible by 2.
What are the factors of 434?
1, 2, 7, 14, 31, 62, 217, 434.
What is 434 in binary?
110110010 (hexadecimal 1B2, octal 662).
What is the square root of 434?
About 20.8327.
What is 434 in Roman numerals?
CDXXXIV.
Is 434 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 434?
434 is a palindrome: it reads 434 backwards too.