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40434732 = 22321386399
BaseRepresentation
bin1001101000111…
…1110000101100
32211002022000200
42122033300230
540322402412
64002353500
71000455342
oct232176054
984068020
1040434732
1120908238
121165b890
1384b96a0
145527992
15383a9dc
hex268fc2c

40434732 has 36 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 12441312.

The previous prime is 40434731. The next prime is 40434743. The reversal of 40434732 is 23743404.

40434732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 40434696 and 40434705.

It is not an unprimeable number, because it can be changed into a prime (40434731) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42732 + ... + 43667.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 240434732 is an apocalyptic number.

It is an amenable number.

40434732 is an abundant number, since it is smaller than the sum of its proper divisors (69638868).

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

40434732 is a wasteful number, since it uses less digits than its factorization.

40434732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86422 (or 86417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 40434732 is about 6358.8310246460. The cubic root of 40434732 is about 343.2296965191.

The spelling of 40434732 in words is "forty million, four hundred thirty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 86399 172798 259197 345596 518394 777591 1036788 1123187 1555182 2246374 3110364 3369561 4492748 6739122 10108683 13478244 20217366 40434732