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34233042564 = 22327467929033
BaseRepresentation
bin11111111000011100…
…101100011010000100
310021100202111202010100
4133320130230122010
51030102124330224
623420524524100
72321220026550
oct377034543204
9107322452110
1034233042564
1113577729616
1267746b0630
1332c736c906
14192a702860
15d55583ac9
hex7f872c684

34233042564 has 72 divisors (see below), whose sum is σ = 98919999360. Its totient is φ = 9778442112.

The previous prime is 34233042533. The next prime is 34233042629. The reversal of 34233042564 is 46524033243.

34233042564 is a `hidden beast` number, since 3 + 4 + 23 + 30 + 42 + 564 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164592 + ... + 1193624.

It is an arithmetic number, because the mean of its divisors is an integer number (1373888880).

Almost surely, 234233042564 is an apocalyptic number.

It is an amenable number.

34233042564 is an abundant number, since it is smaller than the sum of its proper divisors (64686956796).

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

34233042564 is a wasteful number, since it uses less digits than its factorization.

34233042564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33729 (or 33724 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 34233042564 in words is "thirty-four billion, two hundred thirty-three million, forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4679 9358 14037 18716 28074 29033 32753 42111 56148 58066 65506 84222 87099 98259 116132 131012 168444 174198 196518 203231 261297 294777 348396 393036 406462 522594 589554 609693 812924 1045188 1179108 1219386 1829079 2438772 3658158 7316316 135845407 271690814 407536221 543381628 815072442 950917849 1222608663 1630144884 1901835698 2445217326 2852753547 3803671396 4890434652 5705507094 8558260641 11411014188 17116521282 34233042564