The number 64440
64440 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 179. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 64440.
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How to work it out
- 1
What is special about 64440: a Harshad number: divisible by its digit sum 18.
- 2
64440 is composite. Its prime factorisation is
- 3
The divisors add up to 210600; without 64440 itself that is 146160, so 64440 is abundant (146160 is more than 64440). Euler's totient φ(64440) = 17088 numbers up to 64440 share no factor with it.
- 4
The digits of 64440 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64440 = 2^{3} \times 3^{2} \times 5 \times 179 \]64440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 210600 |
| Euler totient φ(n) | 17088 |
| Square | 4152513600 |
| Cube | 267587976384000 |
| Square root | 253.850350 (= 6√1790) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.444 × |
64440 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand four hundred and forty |
| Binary (base 2) | 1111101110111000 |
| Octal (base 8) | 175670 |
| Hexadecimal (base 16) | FBB8 |
| Base 3 | 10021101200 |
| As time | 64440 seconds = 17 h 54 min 0 s |
Is 64440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64440 ÷ 2 = 32220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64440 ÷ 3 = 21480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64440 ÷ 4 = 16110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64440 ÷ 5 = 12888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (64440 ÷ 6 = 10740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (64440 ÷ 8 = 8055) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (64440 ÷ 9 = 7160) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (64440 ÷ 10 = 6444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (64440 ÷ 12 = 5370) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64440 a prime number?
No. 64440 = × × 5 × 179, so it is divisible by 2.
What are the factors of 64440?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 179, 180, 358, 360, 537, 716, 895, 1074, 1432, 1611, 1790, 2148, 2685, 3222, 3580, 4296, 5370, 6444, 7160, 8055, 10740, 12888, 16110, 21480, 32220, 64440.
What is 64440 in binary?
1111101110111000 (hexadecimal FBB8, octal 175670).
What is the square root of 64440?
About 253.8503, exactly 6√1790.
Is 64440 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 64440?
64440 is a Harshad number: divisible by its digit sum 18.