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306470304 = 25347219127
BaseRepresentation
bin10010010001000…
…101110110100000
3210100200022020000
4102101011312200
51111424022204
650224420000
710410645300
oct2221056640
9710608200
10306470304
11147aa3748
1286777600
134b654b9a
142c9b9600
151bd8b039
hex12445da0

306470304 has 360 divisors, whose sum is σ = 1112348160. Its totient is φ = 82301184.

The previous prime is 306470299. The next prime is 306470317. The reversal of 306470304 is 403074603.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 2413089 + ... + 2413215.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2306470304 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 306470304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

306470304 is an abundant number, since it is smaller than the sum of its proper divisors (805877856).

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

306470304 is a wasteful number, since it uses less digits than its factorization.

306470304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 306470304 is about 17506.2932684221. The cubic root of 306470304 is about 674.2114643758.

The spelling of 306470304 in words is "three hundred six million, four hundred seventy thousand, three hundred four".