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20340362349 = 324748085963
BaseRepresentation
bin10010111100011000…
…010100110001101101
31221111112222110121200
4102330120110301231
5313124113043344
613202204320113
71320024140646
oct227430246155
957445873550
1020340362349
11869867131a
123b37b43039
131bc2068188
14dad5a46cd
157e0a9e069
hex4bc614c6d

20340362349 has 12 divisors (see below), whose sum is σ = 30005641536. Its totient is φ = 13271725512.

The previous prime is 20340362327. The next prime is 20340362401. The reversal of 20340362349 is 94326304302.

20340362349 is a `hidden beast` number, since 20 + 3 + 4 + 0 + 3 + 623 + 4 + 9 = 666.

It is not a de Polignac number, because 20340362349 - 212 = 20340358253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20340362309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24042559 + ... + 24043404.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470128).

Almost surely, 220340362349 is an apocalyptic number.

It is an amenable number.

20340362349 is a deficient number, since it is larger than the sum of its proper divisors (9665279187).

20340362349 is a wasteful number, since it uses less digits than its factorization.

20340362349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48086016 (or 48086013 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 20340362349 in words is "twenty billion, three hundred forty million, three hundred sixty-two thousand, three hundred forty-nine".

Divisors: 1 3 9 47 141 423 48085963 144257889 432773667 2260040261 6780120783 20340362349