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54343432 = 23111367709
BaseRepresentation
bin1100111101001…
…1011100001000
310210020221011201
43033103130020
5102402442212
65220433544
71226624443
oct317233410
9123227151
1054343432
1128748030
12162488b4
13b3493a0
14730865a
154b86b57
hex33d3708

54343432 has 64 divisors (see below), whose sum is σ = 121665600. Its totient is φ = 22429440.

The previous prime is 54343397. The next prime is 54343447. The reversal of 54343432 is 23434345.

54343432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

54343432 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 54343432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76294 + ... + 77002.

It is an arithmetic number, because the mean of its divisors is an integer number (1901025).

Almost surely, 254343432 is an apocalyptic number.

54343432 is a gapful number since it is divisible by the number (52) 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 54343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60832800).

54343432 is an abundant number, since it is smaller than the sum of its proper divisors (67322168).

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

54343432 is a wasteful number, since it uses less digits than its factorization.

54343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its digits is 17280, while the sum is 28.

The square root of 54343432 is about 7371.7997802436. The cubic root of 54343432 is about 378.7759133697.

Adding to 54343432 its reverse (23434345), we get a palindrome (77777777).

It can be divided in two parts, 5434343 and 2, that added together give a palindrome (5434345).

The spelling of 54343432 in words is "fifty-four million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 268 286 536 572 709 737 871 1144 1418 1474 1742 2836 2948 3484 5672 5896 6968 7799 9217 9581 15598 18434 19162 31196 36868 38324 47503 62392 73736 76648 95006 101387 190012 202774 380024 405548 522533 617539 811096 1045066 1235078 2090132 2470156 4180264 4940312 6792929 13585858 27171716 54343432