| Base | Representation |
|---|---|
| bin | 11000000110110111011… |
| … | …11001100110001110000 |
| 3 | 2221012001001210020221200 |
| 4 | 30003123233030301300 |
| 5 | 102032344444213430 |
| 6 | 1432305230451200 |
| 7 | 113562356262462 |
| oct | 14033357146160 |
| 9 | 2835031706850 |
| 10 | 828320304240 |
| 11 | 29a31a243510 |
| 12 | 11464a963b00 |
| 13 | 60158353c50 |
| 14 | 2c13b692132 |
| 15 | 1682e728460 |
| hex | c0dbbccc70 |
828320304240 has 480 divisors, whose sum is σ = 3293885177856. Its totient is φ = 183895971840.
The previous prime is 828320304223. The next prime is 828320304247. The reversal of 828320304240 is 42403023828.
It is a happy number.
828320304240 is a `hidden beast` number, since 8 + 2 + 8 + 320 + 304 + 24 + 0 = 666.
828320304240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×8283203042402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 828320304195 and 828320304204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (828320304247) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13044247 + ... + 13107593.
Almost surely, 2828320304240 is an apocalyptic number.
828320304240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 828320304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646942588928).
828320304240 is an abundant number, since it is smaller than the sum of its proper divisors (2465564873616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
828320304240 is a wasteful number, since it uses less digits than its factorization.
828320304240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 63517 (or 63508 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 36.
The spelling of 828320304240 in words is "eight hundred twenty-eight billion, three hundred twenty million, three hundred four thousand, two hundred forty".
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