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768306 = 237111663
BaseRepresentation
bin10111011100100110010
31110000220210
42323210302
5144041211
624244550
76346650
oct2734462
91400823
10768306
11485270
12310756
1320b926
1415ddd0
151029a6
hexbb932

768306 has 32 divisors (see below), whose sum is σ = 1916928. Its totient is φ = 199440.

The previous prime is 768301. The next prime is 768319. The reversal of 768306 is 603867.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768301) 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 15 ways as a sum of consecutive naturals, for example, 370 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (59904).

2768306 is an apocalyptic number.

768306 is an abundant number, since it is smaller than the sum of its proper divisors (1148622).

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

768306 is a wasteful number, since it uses less digits than its factorization.

768306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 768306 is about 876.5306611865. The cubic root of 768306 is about 91.5893003781.

The spelling of 768306 in words is "seven hundred sixty-eight thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1663 3326 4989 9978 11641 18293 23282 34923 36586 54879 69846 109758 128051 256102 384153 768306