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34243040223 = 35741491003
BaseRepresentation
bin11111111001000010…
…110101001111011111
310021101110022200100000
4133321002311033133
51030112204241343
623421523105343
72321401016340
oct377102651737
9107343280300
1034243040223
1113582337a47
126777b12253
1332c94603a2
14192bb860c7
15d563aaed3
hex7f90b53df

34243040223 has 48 divisors (see below), whose sum is σ = 60051753216. Its totient is φ = 19090157760.

The previous prime is 34243040219. The next prime is 34243040257. The reversal of 34243040223 is 32204034243.

34243040223 is a `hidden beast` number, since 3 + 4 + 2 + 430 + 4 + 0 + 223 = 666.

It is not a de Polignac number, because 34243040223 - 22 = 34243040219 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243048223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175761 + ... + 315242.

It is an arithmetic number, because the mean of its divisors is an integer number (1251078192).

Almost surely, 234243040223 is an apocalyptic number.

34243040223 is a deficient number, since it is larger than the sum of its proper divisors (25808712993).

34243040223 is an equidigital number, since it uses as much as digits as its factorization.

34243040223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491066 (or 491054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34243040223 its reverse (32204034243), we get a palindrome (66447074466).

The spelling of 34243040223 in words is "thirty-four billion, two hundred forty-three million, forty thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 243 287 369 567 861 1107 1701 2583 3321 7749 9963 23247 69741 491003 1473009 3437021 4419027 10311063 13257081 20131123 30933189 39771243 60393369 92799567 119313729 140917861 181180107 278398701 422753583 543540321 835196103 1268260749 1630620963 3804782247 4891862889 11414346741 34243040223