The number 43400
43400 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 31. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 31, 35, 40, 50, 56 … 43400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43400 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 43400 itself that is 75640, so 43400 is abundant (75640 is more than 43400). Euler's totient φ(43400) = 14400 numbers up to 43400 share no factor with it.
- 4
The digits of 43400 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43400 = 2^{3} \times 5^{2} \times 7 \times 31 \]43400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 14400 |
| Square | 1883560000 |
| Cube | 81746504000000 |
| Square root | 208.326667 (= 10√434) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.34 × |
43400 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred |
| Binary (base 2) | 1010100110001000 |
| Octal (base 8) | 124610 |
| Hexadecimal (base 16) | A988 |
| Base 3 | 2012112102 |
| As time | 43400 seconds = 12 h 3 min 20 s |
Is 43400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43400 ÷ 2 = 21700) | 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 (43400 ÷ 4 = 10850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43400 ÷ 5 = 8680) | 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 (43400 ÷ 7 = 6200) | 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 (43400 ÷ 8 = 5425) | 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 (43400 ÷ 10 = 4340) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43400 a prime number?
No. 43400 = × × 7 × 31, so it is divisible by 2.
What are the factors of 43400?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 31, 35, 40, 50, 56, 62, 70, 100, 124, 140, 155, 175, 200, 217, 248, 280, 310, 350, 434, 620, 700, 775, 868, 1085, 1240, 1400, 1550, 1736, 2170, 3100, 4340, 5425, 6200, 8680, 10850, 21700, 43400.
What is 43400 in binary?
1010100110001000 (hexadecimal A988, octal 124610).
What is the square root of 43400?
About 208.3267, exactly 10√434.
Is 43400 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 43400?
It is a composite number with 48 divisors.