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113305344 = 283434773
BaseRepresentation
bin1101100000011…
…10011100000000
321220012111201020
412300032130000
5213001232334
615124305440
72544036165
oct660163400
9256174636
10113305344
1158a59a89
1231b42280
131a6219a9
141109606c
159e31e49
hex6c0e700

113305344 has 144 divisors (see below), whose sum is σ = 319452672. Its totient is φ = 35610624.

The previous prime is 113305333. The next prime is 113305363. The reversal of 113305344 is 443503311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552092 + ... + 1552164.

Almost surely, 2113305344 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 113305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159726336).

113305344 is an abundant number, since it is smaller than the sum of its proper divisors (206147328).

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

113305344 is an equidigital number, since it uses as much as digits as its factorization.

113305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 113305344 is about 10644.4982972426. The cubic root of 113305344 is about 483.8938819784.

Adding to 113305344 its reverse (443503311), we get a palindrome (556808655).

The spelling of 113305344 in words is "one hundred thirteen million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 47 48 64 73 86 94 96 128 129 141 146 172 188 192 219 256 258 282 292 344 376 384 438 516 564 584 688 752 768 876 1032 1128 1168 1376 1504 1752 2021 2064 2256 2336 2752 3008 3139 3431 3504 4042 4128 4512 4672 5504 6016 6063 6278 6862 7008 8084 8256 9024 9344 9417 10293 11008 12032 12126 12556 13724 14016 16168 16512 18048 18688 18834 20586 24252 25112 27448 28032 32336 33024 36096 37668 41172 48504 50224 54896 56064 64672 75336 82344 97008 100448 109792 129344 147533 150672 164688 194016 200896 219584 258688 295066 301344 329376 388032 401792 439168 442599 517376 590132 602688 658752 776064 803584 878336 885198 1180264 1205376 1317504 1552128 1770396 2360528 2410752 2635008 3540792 4721056 7081584 9442112 14163168 18884224 28326336 37768448 56652672 113305344