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34345534041 = 3271341935939
BaseRepresentation
bin11111111111001001…
…110100001001011001
310021122121011220102100
4133333021310021121
51030314424042131
623440023554013
72324054136210
oct377711641131
9107577156370
1034345534041
1113625182085
1267a62bb909
133314768010
14193b626077
15d603a47e6
hex7ff274259

34345534041 has 24 divisors (see below), whose sum is σ = 61058728640. Its totient is φ = 18116325216.

The previous prime is 34345534033. The next prime is 34345534057. The reversal of 34345534041 is 14043554343.

34345534041 is a `hidden beast` number, since 3 + 43 + 45 + 534 + 0 + 41 = 666.

It is not a de Polignac number, because 34345534041 - 23 = 34345534033 is a prime.

It is a super-2 number, since 2×343455340412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34345533987 and 34345534005.

It is not an unprimeable number, because it can be changed into a prime (34345534141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20967151 + ... + 20968788.

Almost surely, 234345534041 is an apocalyptic number.

It is an amenable number.

34345534041 is a deficient number, since it is larger than the sum of its proper divisors (26713194599).

34345534041 is a wasteful number, since it uses less digits than its factorization.

34345534041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41935965 (or 41935962 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34345534041 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty-four thousand, forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 41935939 125807817 293551573 377423451 545167207 880654719 1635501621 2641964157 3816170449 4906504863 11448511347 34345534041