The number 34440
34440 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 7 × 41. Divisors (64): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28 … 34440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34440: a Harshad number: divisible by its digit sum 15.
- 2
34440 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 34440 itself that is 86520, so 34440 is abundant (86520 is more than 34440). Euler's totient φ(34440) = 7680 numbers up to 34440 share no factor with it.
- 4
The digits of 34440 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34440 = 2^{3} \times 3 \times 5 \times 7 \times 41 \]34440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 7680 |
| Square | 1186113600 |
| Cube | 40849752384000 |
| Square root | 185.580171 (= 2√8610) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.444 × |
34440 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and forty |
| Binary (base 2) | 1000011010001000 |
| Octal (base 8) | 103210 |
| Hexadecimal (base 16) | 8688 |
| Base 3 | 1202020120 |
| As time | 34440 seconds = 9 h 34 min 0 s |
Is 34440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34440 ÷ 2 = 17220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34440 ÷ 3 = 11480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34440 ÷ 4 = 8610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (34440 ÷ 5 = 6888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34440 ÷ 6 = 5740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34440 ÷ 7 = 4920) | 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 (34440 ÷ 8 = 4305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (34440 ÷ 10 = 3444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34440 ÷ 12 = 2870) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34440 a prime number?
No. 34440 = × 3 × 5 × 7 × 41, so it is divisible by 2.
What are the factors of 34440?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 41, 42, 56, 60, 70, 82, 84, 105, 120, 123, 140, 164, 168, 205, 210, 246, 280, 287, 328, 410, 420, 492, 574, 615, 820, 840, 861, 984, 1148, 1230, 1435, 1640, 1722, 2296, 2460, 2870, 3444, 4305, 4920, 5740, 6888, 8610, 11480, 17220, 34440.
What is 34440 in binary?
1000011010001000 (hexadecimal 8688, octal 103210).
What is the square root of 34440?
About 185.5802, exactly 2√8610.
Is 34440 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 34440?
34440 is a Harshad number: divisible by its digit sum 15.