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349830427293 = 32172286473381
BaseRepresentation
bin1010001011100111000…
…01001011001010011101
31020102222021200000100100
411011303201023022131
521212423042133133
6424413200051313
734163060366124
oct5056341131235
91212867600310
10349830427293
111253a9179916
1257971603b39
1326cb1708949
1412d09130abb
159177209e13
hex517384b29d

349830427293 has 12 divisors (see below), whose sum is σ = 535034771388. Its totient is φ = 219501444480.

The previous prime is 349830427277. The next prime is 349830427301. The reversal of 349830427293 is 392724038943.

349830427293 is a `hidden beast` number, since 3 + 49 + 8 + 304 + 2 + 7 + 293 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103752919449 + 246077507844 = 322107^2 + 496062^2 .

It is not a de Polignac number, because 349830427293 - 24 = 349830427277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349830427253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143236538 + ... + 1143236843.

It is an arithmetic number, because the mean of its divisors is an integer number (44586230949).

Almost surely, 2349830427293 is an apocalyptic number.

It is an amenable number.

349830427293 is a deficient number, since it is larger than the sum of its proper divisors (185204344095).

349830427293 is a wasteful number, since it uses less digits than its factorization.

349830427293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286473404 (or 2286473401 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 349830427293 in words is "three hundred forty-nine billion, eight hundred thirty million, four hundred twenty-seven thousand, two hundred ninety-three".

Divisors: 1 3 9 17 51 153 2286473381 6859420143 20578260429 38870047477 116610142431 349830427293