| Base | Representation |
|---|---|
| bin | 1111011111110111… |
| … | …10010000011100000 |
| 3 | 210110212021210002000 |
| 4 | 13233323302003200 |
| 5 | 114020010042230 |
| 6 | 3453342524000 |
| 7 | 413121114552 |
| oct | 75773620340 |
| 9 | 23425253060 |
| 10 | 8320393440 |
| 11 | 358a710817 |
| 12 | 1742596600 |
| 13 | a27a31438 |
| 14 | 58d0694d2 |
| 15 | 33a6d6b60 |
| hex | 1efef20e0 |
8320393440 has 192 divisors, whose sum is σ = 29532625920. Its totient is φ = 2187440640.
The previous prime is 8320393429. The next prime is 8320393447. The reversal of 8320393440 is 443930238.
It is a happy number.
8320393440 is a `hidden beast` number, since 8 + 3 + 203 + 9 + 3 + 440 = 666.
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 = 8320393395 and 8320393404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8320393447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293157 + ... + 320283.
It is an arithmetic number, because the mean of its divisors is an integer number (153815760).
Almost surely, 28320393440 is an apocalyptic number.
8320393440 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 8320393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766312960).
8320393440 is an abundant number, since it is smaller than the sum of its proper divisors (21212232480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8320393440 is a wasteful number, since it uses less digits than its factorization.
8320393440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27222 (or 27208 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 8320393440 is about 91216.1906681045. The cubic root of 8320393440 is about 2026.3507476366.
The spelling of 8320393440 in words is "eight billion, three hundred twenty million, three hundred ninety-three thousand, four hundred forty".
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