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305086368 = 25323913297
BaseRepresentation
bin10010001011110…
…011111110100000
3210021001222211010
4102023303332200
51111100230433
650135020520
710363122426
oct2213637640
9707058733
10305086368
111472389a4
128620a740
134b28bca2
142c739116
151bbb5e63
hex122f3fa0

305086368 has 48 divisors (see below), whose sum is σ = 804263040. Its totient is φ = 101262336.

The previous prime is 305086343. The next prime is 305086373. The reversal of 305086368 is 863680503.

305086368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16296 + ... + 29592.

It is an arithmetic number, because the mean of its divisors is an integer number (16755480).

Almost surely, 2305086368 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 305086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402131520).

305086368 is an abundant number, since it is smaller than the sum of its proper divisors (499176672).

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

305086368 is a wasteful number, since it uses less digits than its factorization.

305086368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 305086368 is about 17466.7217301931. The cubic root of 305086368 is about 673.1950814631.

The spelling of 305086368 in words is "three hundred five million, eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 13297 22944 26594 39891 53188 79782 106376 159564 212752 319128 425504 638256 1276512 3177983 6355966 9533949 12711932 19067898 25423864 38135796 50847728 76271592 101695456 152543184 305086368