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305017168 = 2423236037
BaseRepresentation
bin10010001011100…
…011000101010000
3210020221110220011
4102023203011100
51111041022133
650133324304
710362413611
oct2213430520
9706843804
10305017168
111471a0a05
1286196694
134b266641
142c71bc08
151bba06cd
hex122e3150

305017168 has 30 divisors (see below), whose sum is σ = 617799434. Its totient is φ = 145873728.

The previous prime is 305017123. The next prime is 305017201. The reversal of 305017168 is 861710503.

305017168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 200732224 + 104284944 = 14168^2 + 10212^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9555 + ... + 26482.

Almost surely, 2305017168 is an apocalyptic number.

It is an amenable number.

305017168 is an abundant number, since it is smaller than the sum of its proper divisors (312782266).

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

305017168 is a wasteful number, since it uses less digits than its factorization.

305017168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36091 (or 36062 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 305017168 is about 17464.7407080666. The cubic root of 305017168 is about 673.1441793502.

The spelling of 305017168 in words is "three hundred five million, seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 36037 72074 144148 288296 576592 828851 1657702 3315404 6630808 13261616 19063573 38127146 76254292 152508584 305017168