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34241043204 = 22321755949417
BaseRepresentation
bin11111111000111011…
…001101101100000100
310021101022120012221100
4133320323031230010
51030111201340304
623421412220100
72321345031204
oct377073155404
9107338505840
1034241043204
11135811a3615
12677730a630
1332c8c11414
14192b7c6404
15d56114439
hex7f8ecdb04

34241043204 has 36 divisors (see below), whose sum is σ = 91645146684. Its totient is φ = 10742287872.

The previous prime is 34241043203. The next prime is 34241043227. The reversal of 34241043204 is 40234014243.

It is a happy number.

34241043204 is a `hidden beast` number, since 3 + 4 + 2 + 410 + 43 + 204 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19030754304 + 15210288900 = 137952^2 + 123330^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34241043203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27974097 + ... + 27975320.

It is an arithmetic number, because the mean of its divisors is an integer number (2545698519).

Almost surely, 234241043204 is an apocalyptic number.

34241043204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34241043204 is an abundant number, since it is smaller than the sum of its proper divisors (57404103480).

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

34241043204 is a wasteful number, since it uses less digits than its factorization.

34241043204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55949444 (or 55949439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34241043204 its reverse (40234014243), we get a palindrome (74475057447).

The spelling of 34241043204 in words is "thirty-four billion, two hundred forty-one million, forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 55949417 111898834 167848251 223797668 335696502 503544753 671393004 951140089 1007089506 1902280178 2014179012 2853420267 3804560356 5706840534 8560260801 11413681068 17120521602 34241043204