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113434332 = 2231119311459
BaseRepresentation
bin1101100001011…
…01111011011100
321220110001122120
412300231323130
5213014344312
615131142540
72545114224
oct660557334
9256401576
10113434332
1159037990
1231ba4a50
131a66860b
14110cb084
159e5a28c
hex6c2dedc

113434332 has 96 divisors (see below), whose sum is σ = 313958400. Its totient is φ = 31492800.

The previous prime is 113434303. The next prime is 113434333. The reversal of 113434332 is 233434311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77019 + ... + 78477.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2113434332 is an apocalyptic number.

113434332 is a gapful number since it is divisible by the number (12) 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 113434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979200).

113434332 is an abundant number, since it is smaller than the sum of its proper divisors (200524068).

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

113434332 is a wasteful number, since it uses less digits than its factorization.

113434332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1525 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 113434332 is about 10650.5554784715. Note that the first 3 decimals coincide. The cubic root of 113434332 is about 484.0774356444.

Adding to 113434332 its reverse (233434311), we get a palindrome (346868643).

It can be divided in two parts, 11 and 3434332, that added together give a palindrome (3434343).

The spelling of 113434332 in words is "one hundred thirteen million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 372 418 589 627 682 836 1023 1178 1254 1364 1459 1767 2046 2356 2508 2918 3534 4092 4377 5836 6479 7068 8754 12958 16049 17508 19437 25916 27721 32098 38874 45229 48147 55442 64196 77748 83163 90458 96294 110884 135687 166326 180916 192588 271374 304931 332652 497519 542748 609862 859351 914793 995038 1219724 1492557 1718702 1829586 1990076 2578053 2985114 3437404 3659172 5156106 5970228 9452861 10312212 18905722 28358583 37811444 56717166 113434332