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304342112 = 2553311577
BaseRepresentation
bin10010001000111…
…110010001100000
3210012200011220002
4102020332101200
51110402421422
650111035132
710353602534
oct2210762140
9705604802
10304342112
1114687a808
1285b0baa8
134b08b2b9
142c5c3bc4
151baba692
hex1223e460

304342112 has 48 divisors (see below), whose sum is σ = 613503072. Its totient is φ = 148561920.

The previous prime is 304342111. The next prime is 304342117. The reversal of 304342112 is 211243403.

It is a super-2 number, since 2×3043421122 = 185248242273241088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304342111) 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 7 ways as a sum of consecutive naturals, for example, 527168 + ... + 527744.

It is an arithmetic number, because the mean of its divisors is an integer number (12781314).

Almost surely, 2304342112 is an apocalyptic number.

304342112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306751536).

304342112 is an abundant number, since it is smaller than the sum of its proper divisors (309160960).

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

304342112 is a wasteful number, since it uses less digits than its factorization.

304342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 304342112 is about 17445.4037499853. The cubic root of 304342112 is about 672.6472175317.

Adding to 304342112 its reverse (211243403), we get a palindrome (515585515).

The spelling of 304342112 in words is "three hundred four million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 106 212 311 424 577 622 848 1154 1244 1696 2308 2488 4616 4976 9232 9952 16483 18464 30581 32966 61162 65932 122324 131864 179447 244648 263728 358894 489296 527456 717788 978592 1435576 2871152 5742304 9510691 19021382 38042764 76085528 152171056 304342112