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34345506016 = 255683188861
BaseRepresentation
bin11111111111001001…
…101101010011100000
310021122121010110222101
4133333021231103200
51030314422143031
623440023220144
72324053661413
oct377711552340
9107577113871
1034345506016
1113625163018
1267a62a7654
133314758333
14193b619b7a
15d6039b361
hex7ff26d4e0

34345506016 has 24 divisors (see below), whose sum is σ = 67629971304. Its totient is φ = 17169640320.

The previous prime is 34345506007. The next prime is 34345506017. The reversal of 34345506016 is 61060554343.

It is a super-2 number, since 2×343455060162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345506017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87426 + ... + 276286.

It is an arithmetic number, because the mean of its divisors is an integer number (2817915471).

Almost surely, 234345506016 is an apocalyptic number.

It is an amenable number.

34345506016 is a deficient number, since it is larger than the sum of its proper divisors (33284465288).

34345506016 is a wasteful number, since it uses less digits than its factorization.

34345506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194554 (or 194546 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 34345506016 in words is "thirty-four billion, three hundred forty-five million, five hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 5683 11366 22732 45464 90928 181856 188861 377722 755444 1510888 3021776 6043552 1073297063 2146594126 4293188252 8586376504 17172753008 34345506016