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113200344 = 233231411237
BaseRepresentation
bin1101011111101…
…00110011011000
321220000011200100
412233310303120
5212434402334
615122135400
72543121105
oct657646330
9256004610
10113200344
1158998104
1231ab1560
131a5b5c6a
1411069aac
159e10c99
hex6bf4cd8

113200344 has 96 divisors (see below), whose sum is σ = 324455040. Its totient is φ = 35596800.

The previous prime is 113200343. The next prime is 113200361. The reversal of 113200344 is 443002311.

113200344 is a `hidden beast` number, since 1 + 1 + 320 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90894 + ... + 92130.

It is an arithmetic number, because the mean of its divisors is an integer number (3379740).

Almost surely, 2113200344 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 113200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162227520).

113200344 is an abundant number, since it is smaller than the sum of its proper divisors (211254696).

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

113200344 is a wasteful number, since it uses less digits than its factorization.

113200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113200344 is about 10639.5650287030. The cubic root of 113200344 is about 483.7443610504.

Adding to 113200344 its reverse (443002311), we get a palindrome (556202655).

The spelling of 113200344 in words is "one hundred thirteen million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 123 124 164 186 246 248 279 328 369 372 492 558 738 744 984 1116 1237 1271 1476 2232 2474 2542 2952 3711 3813 4948 5084 7422 7626 9896 10168 11133 11439 14844 15252 22266 22878 29688 30504 38347 44532 45756 50717 76694 89064 91512 101434 115041 152151 153388 202868 230082 304302 306776 345123 405736 456453 460164 608604 690246 912906 920328 1217208 1380492 1572227 1825812 2760984 3144454 3651624 4716681 6288908 9433362 12577816 14150043 18866724 28300086 37733448 56600172 113200344