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34850342528 = 271571734193
BaseRepresentation
bin100000011101001111…
…100000011010000000
310022221210001211110222
4200131033200122000
51032333141430103
624002055442212
72342424011111
oct403517403200
9108853054428
1034850342528
1113864123181
126907386368
133395214971
1419886b0208
15d8e86c638
hex81d3e0680

34850342528 has 32 divisors (see below), whose sum is σ = 69870676260. Its totient is φ = 17314172928.

The previous prime is 34850342497. The next prime is 34850342537. The reversal of 34850342528 is 82524305843.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34414702144 + 435640384 = 185512^2 + 20872^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 847001 + ... + 887192.

Almost surely, 234850342528 is an apocalyptic number.

It is an amenable number.

34850342528 is an abundant number, since it is smaller than the sum of its proper divisors (35020333732).

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

34850342528 is a wasteful number, since it uses less digits than its factorization.

34850342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734364 (or 1734352 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 34850342528 in words is "thirty-four billion, eight hundred fifty million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 10048 20096 1734193 3468386 6936772 13873544 27747088 55494176 110988352 221976704 272268301 544536602 1089073204 2178146408 4356292816 8712585632 17425171264 34850342528