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113434368 = 2831271163
BaseRepresentation
bin1101100001011…
…01111100000000
321220110001200220
412300231330000
5213014344433
615131143040
72545114305
oct660557400
9256401626
10113434368
1159037a13
1231ba4a80
131a668638
14110cb0ac
159e5a2b3
hex6c2df00

113434368 has 72 divisors (see below), whose sum is σ = 304539648. Its totient is φ = 37481472.

The previous prime is 113434337. The next prime is 113434379. The reversal of 113434368 is 863434311.

It is a nude number because it is divisible by every one of its digits.

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, 96955 + ... + 98117.

Almost surely, 2113434368 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 113434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152269824).

113434368 is an abundant number, since it is smaller than the sum of its proper divisors (191105280).

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

113434368 is a wasteful number, since it uses less digits than its factorization.

113434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 113434368 is about 10650.5571685241. The cubic root of 113434368 is about 484.0774868540.

Adding to 113434368 its reverse (863434311), we get a palindrome (976868679).

The spelling of 113434368 in words is "one hundred thirteen million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1163 1524 2032 2326 3048 3489 4064 4652 6096 6978 8128 9304 12192 13956 16256 18608 24384 27912 32512 37216 48768 55824 74432 97536 111648 147701 148864 223296 295402 297728 443103 446592 590804 886206 893184 1181608 1772412 2363216 3544824 4726432 7089648 9452864 14179296 18905728 28358592 37811456 56717184 113434368