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34054616424 = 23313110831621
BaseRepresentation
bin11111101101110100…
…000011010101101000
310020220022202202110210
4133231310003111220
51024220440211144
623351112341120
72313622314663
oct375564032550
9106808682423
1034054616424
1113495a413a4
1267249a47a0
1332993ca20a
141910b386da
15d44a8bab9
hex7edd03568

34054616424 has 32 divisors (see below), whose sum is σ = 85786446240. Its totient is φ = 11264884800.

The previous prime is 34054616423. The next prime is 34054616437. The reversal of 34054616424 is 42461645043.

It is a super-3 number, since 3×340546164243 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34054616423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5412667 + ... + 5418954.

It is an arithmetic number, because the mean of its divisors is an integer number (2680826445).

Almost surely, 234054616424 is an apocalyptic number.

It is an amenable number.

34054616424 is an abundant number, since it is smaller than the sum of its proper divisors (51731829816).

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

34054616424 is a wasteful number, since it uses less digits than its factorization.

34054616424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831761 (or 10831757 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 34054616424 in words is "thirty-four billion, fifty-four million, six hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 10831621 21663242 32494863 43326484 64989726 86652968 129979452 259958904 1418942351 2837884702 4256827053 5675769404 8513654106 11351538808 17027308212 34054616424