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34212256728 = 23313118192849
BaseRepresentation
bin11111110111001101…
…011001101111011000
310021022022101201022120
4133313031121233120
51030031314203403
623414503221240
72320545245466
oct376715315730
9107268351276
1034212256728
1113566a21941
126769747820
1332c2c728c0
141927a51836
15d53829e53
hex7f7359bd8

34212256728 has 64 divisors (see below), whose sum is σ = 92188908000. Its totient is φ = 10517821440.

The previous prime is 34212256709. The next prime is 34212256759. The reversal of 34212256728 is 82765221243.

It is a self number, because there is not a number n which added to its sum of digits gives 34212256728.

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 15 ways as a sum of consecutive naturals, for example, 322048 + ... + 414896.

Almost surely, 234212256728 is an apocalyptic number.

It is an amenable number.

34212256728 is an abundant number, since it is smaller than the sum of its proper divisors (57976651272).

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

34212256728 is a wasteful number, since it uses less digits than its factorization.

34212256728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94052 (or 94048 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 34212256728 in words is "thirty-four billion, two hundred twelve million, two hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1181 2362 3543 4724 7086 9448 14172 15353 28344 30706 46059 61412 92118 92849 122824 184236 185698 278547 368472 371396 557094 742792 1114188 1207037 2228376 2414074 3621111 4828148 7242222 9656296 14484444 28968888 109654669 219309338 328964007 438618676 657928014 877237352 1315856028 1425510697 2631712056 2851021394 4276532091 5702042788 8553064182 11404085576 17106128364 34212256728