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34360355436 = 22311331378571
BaseRepresentation
bin100000000000000010…
…010110101001101100
310021200122001220112220
4200000002112221230
51030332222333221
623441313355340
72324324126241
oct400002265154
9107618056486
1034360355436
1113632585670
1267ab268b50
133317857284
14193d5a35c8
15d618310c6
hex800096a6c

34360355436 has 48 divisors (see below), whose sum is σ = 87490236288. Its totient is φ = 10408953600.

The previous prime is 34360355423. The next prime is 34360355437. The reversal of 34360355436 is 63455306343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34360355437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398031 + ... + 476601.

It is an arithmetic number, because the mean of its divisors is an integer number (1822713256).

Almost surely, 234360355436 is an apocalyptic number.

It is an amenable number.

34360355436 is an abundant number, since it is smaller than the sum of its proper divisors (53129880852).

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

34360355436 is a wasteful number, since it uses less digits than its factorization.

34360355436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81902 (or 81900 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 34360355436 in words is "thirty-four billion, three hundred sixty million, three hundred fifty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3313 6626 9939 13252 19878 36443 39756 72886 78571 109329 145772 157142 218658 235713 314284 437316 471426 864281 942852 1728562 2592843 3457124 5185686 10371372 260305723 520611446 780917169 1041222892 1561834338 2863362953 3123668676 5726725906 8590088859 11453451812 17180177718 34360355436