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806694336 = 26337173923
BaseRepresentation
bin110000000101010…
…010110111000000
32002012221022121000
4300011102313000
53123003204321
6212014132000
725663534350
oct6005226700
92065838530
10806694336
113843a3438
121a61b1000
13cb187c36
14791ccb60
154ac4a826
hex30152dc0

806694336 has 224 divisors, whose sum is σ = 2870484480. Its totient is φ = 216870912.

The previous prime is 806694331. The next prime is 806694391. The reversal of 806694336 is 633496608.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 806694291 and 806694300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806694331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203671 + ... + 207593.

Almost surely, 2806694336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435242240).

806694336 is an abundant number, since it is smaller than the sum of its proper divisors (2063790144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806694336 is a wasteful number, since it uses less digits than its factorization.

806694336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 806694336 is about 28402.3649719526. The cubic root of 806694336 is about 930.8999405210.

The spelling of 806694336 in words is "eight hundred six million, six hundred ninety-four thousand, three hundred thirty-six".