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806364 = 2232131723
BaseRepresentation
bin11000100110111011100
31111222010100
43010313130
5201300424
625141100
76565626
oct3046734
91458110
10806364
11500919
1232a790
13223050
1416dc16
1510ddc9
hexc4ddc

806364 has 36 divisors (see below), whose sum is σ = 2196376. Its totient is φ = 247968.

The previous prime is 806363. The next prime is 806369. The reversal of 806364 is 463608.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806364.

It is not an unprimeable number, because it can be changed into a prime (806363) 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 11 ways as a sum of consecutive naturals, for example, 394 + ... + 1329.

2806364 is an apocalyptic number.

It is an amenable number.

806364 is an abundant number, since it is smaller than the sum of its proper divisors (1390012).

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

806364 is a wasteful number, since it uses less digits than its factorization.

806364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 806364 is about 897.9777280089. The cubic root of 806364 is about 93.0772857381.

The spelling of 806364 in words is "eight hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1723 3446 5169 6892 10338 15507 20676 22399 31014 44798 62028 67197 89596 134394 201591 268788 403182 806364