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113234304 = 2731312251
BaseRepresentation
bin1101011111111…
…01000110000000
321220001220021010
412233331012000
5212441444204
615123000520
72543322111
oct657750600
9256056233
10113234304
1158a10677
1231b09140
131a5c8561
1411078208
159e1ad89
hex6bfd180

113234304 has 64 divisors (see below), whose sum is σ = 303209280. Its totient is φ = 37440000.

The previous prime is 113234287. The next prime is 113234311. The reversal of 113234304 is 403432311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 49179 + ... + 51429.

It is an arithmetic number, because the mean of its divisors is an integer number (4737645).

Almost surely, 2113234304 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 113234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151604640).

113234304 is an abundant number, since it is smaller than the sum of its proper divisors (189974976).

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

113234304 is a wasteful number, since it uses less digits than its factorization.

113234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 113234304 is about 10641.1608389311. The cubic root of 113234304 is about 483.7927305029.

Adding to 113234304 its reverse (403432311), we get a palindrome (516666615).

The spelling of 113234304 in words is "one hundred thirteen million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 2251 3144 4192 4502 6288 6753 8384 9004 12576 13506 16768 18008 25152 27012 36016 50304 54024 72032 108048 144064 216096 288128 294881 432192 589762 864384 884643 1179524 1769286 2359048 3538572 4718096 7077144 9436192 14154288 18872384 28308576 37744768 56617152 113234304