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113342436 = 223323103443
BaseRepresentation
bin1101100000101…
…11011111100100
321220021101121000
412300113133210
5213003424221
615125153300
72544252264
oct660273744
9256241530
10113342436
1158a84939
1231b5b830
131a63583c
14110a57a4
159e3ce26
hex6c177e4

113342436 has 96 divisors (see below), whose sum is σ = 310302720. Its totient is φ = 35706528.

The previous prime is 113342431. The next prime is 113342443. The reversal of 113342436 is 634243311.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (113342431) 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, 255631 + ... + 256073.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2113342436 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 113342436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

113342436 is an abundant number, since it is smaller than the sum of its proper divisors (196960284).

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

113342436 is a wasteful number, since it uses less digits than its factorization.

113342436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 113342436 is about 10646.2404631870. The cubic root of 113342436 is about 483.9466792341.

Adding to 113342436 its reverse (634243311), we get a palindrome (747585747).

The spelling of 113342436 in words is "one hundred thirteen million, three hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 103 108 138 206 207 276 309 412 414 443 618 621 828 886 927 1236 1242 1329 1772 1854 2369 2484 2658 2781 3708 3987 4738 5316 5562 7107 7974 9476 10189 11124 11961 14214 15948 20378 21321 23922 28428 30567 40756 42642 45629 47844 61134 63963 85284 91258 91701 122268 127926 136887 182516 183402 255852 273774 275103 366804 410661 547548 550206 821322 1049467 1100412 1231983 1642644 2098934 2463966 3148401 4197868 4927932 6296802 9445203 12593604 18890406 28335609 37780812 56671218 113342436