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34300504314 = 2321905583573
BaseRepresentation
bin11111111100011110…
…000010100011111010
310021112110110011020200
4133330132002203322
51030221412114224
623431334503030
72322666322206
oct377436024372
9107473404220
1034300504314
111360181662a
126793204a76
13330832cccb
141935663b06
15d5b45c5c9
hex7fc7828fa

34300504314 has 12 divisors (see below), whose sum is σ = 74317759386. Its totient is φ = 11433501432.

The previous prime is 34300504313. The next prime is 34300504333. The reversal of 34300504314 is 41340500343.

34300504314 is a `hidden beast` number, since 343 + 0 + 0 + 5 + 0 + 4 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32589275625 + 1711228689 = 180525^2 + 41367^2 .

It is a super-3 number, since 3×343005043143 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34300504313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 952791769 + ... + 952791804.

Almost surely, 234300504314 is an apocalyptic number.

34300504314 is an abundant number, since it is smaller than the sum of its proper divisors (40017255072).

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

34300504314 is a wasteful number, since it uses less digits than its factorization.

34300504314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905583581 (or 1905583578 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 34300504314 in words is "thirty-four billion, three hundred million, five hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 1905583573 3811167146 5716750719 11433501438 17150252157 34300504314