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34343002022364 = 22327136281754057
BaseRepresentation
bin1111100111100000110100…
…11011111010000111011100
311111121011021212012120011100
413303300122123322013130
514000133432004203424
6201012542440553100
710143125414443410
oct763603233720734
9144534255176140
1034343002022364
11aa40870359882
123a27aa1a82790
1316216ba05aa19
1486a2d29aad40
153e851876cdc9
hex1f3c1a6fa1dc

34343002022364 has 36 divisors (see below), whose sum is σ = 99213116954224. Its totient is φ = 9812286292032.

The previous prime is 34343002022359. The next prime is 34343002022453. The reversal of 34343002022364 is 46322020034343.

34343002022364 is a `hidden beast` number, since 34 + 34 + 30 + 0 + 202 + 2 + 364 = 666.

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

It is a super-2 number, since 2×343430020223642 (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68140876777 + ... + 68140877280.

Almost surely, 234343002022364 is an apocalyptic number.

It is an amenable number.

34343002022364 is an abundant number, since it is smaller than the sum of its proper divisors (64870114931860).

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

34343002022364 is a wasteful number, since it uses less digits than its factorization.

34343002022364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136281754074 (or 136281754069 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

The spelling of 34343002022364 in words is "thirty-four trillion, three hundred forty-three billion, two million, twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 136281754057 272563508114 408845262171 545127016228 817690524342 953972278399 1226535786513 1635381048684 1907944556798 2453071573026 2861916835197 3815889113596 4906143146052 5723833670394 8585750505591 11447667340788 17171501011182 34343002022364