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304374304 = 2513898221
BaseRepresentation
bin10010001001000…
…110001000100000
3210012201211001101
4102021012020200
51110404434204
650111444144
710354065433
oct2211061040
9705654041
10304374304
111468a1a13
1285b26654
134b09cb50
142c5d181a
151bac4ea4
hex12246220

304374304 has 48 divisors (see below), whose sum is σ = 652662360. Its totient is φ = 138885120.

The previous prime is 304374299. The next prime is 304374311. The reversal of 304374304 is 403473403.

It can be written as a sum of positive squares in 4 ways, for example, as 238764304 + 65610000 = 15452^2 + 8100^2 .

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, 32914 + ... + 41134.

Almost surely, 2304374304 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 304374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326331180).

304374304 is an abundant number, since it is smaller than the sum of its proper divisors (348288056).

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

304374304 is a wasteful number, since it uses less digits than its factorization.

304374304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 304374304 is about 17446.3263754866. The cubic root of 304374304 is about 672.6709332724.

Subtracting 304374304 from its reverse (403473403), we obtain a palindrome (99099099).

The spelling of 304374304 in words is "three hundred four million, three hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 2314 2848 4628 8221 9256 16442 18512 32884 37024 65768 106873 131536 213746 263072 427492 731669 854984 1463338 1709968 2926676 3419936 5853352 9511697 11706704 19023394 23413408 38046788 76093576 152187152 304374304