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34023040668 = 22323172981339
BaseRepresentation
bin11111101011111011…
…100110011010011100
310020211010100112200100
4133223323212122130
51024134344300133
623344023501100
72313060034251
oct375373463234
9106733315610
1034023040668
111347a135031
1267162b7790
1332929c2c36
14190a879428
15d41e00e13
hex7ebee669c

34023040668 has 36 divisors (see below), whose sum is σ = 86274016920. Its totient is φ = 11305233696.

The previous prime is 34023040591. The next prime is 34023040691. The reversal of 34023040668 is 86604032043.

It is a happy number.

34023040668 is a `hidden beast` number, since 340 + 2 + 304 + 0 + 6 + 6 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1479258 + ... + 1502081.

It is an arithmetic number, because the mean of its divisors is an integer number (2396500470).

Almost surely, 234023040668 is an apocalyptic number.

It is an amenable number.

34023040668 is an abundant number, since it is smaller than the sum of its proper divisors (52250976252).

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

34023040668 is a wasteful number, since it uses less digits than its factorization.

34023040668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981666 (or 2981661 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34023040668 in words is "thirty-four billion, twenty-three million, forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 2981339 5962678 8944017 11925356 17888034 26832051 35776068 53664102 107328204 945084463 1890168926 2835253389 3780337852 5670506778 8505760167 11341013556 17011520334 34023040668