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345184300047 = 311313728326263
BaseRepresentation
bin1010000010111101001…
…01100110110000001111
31012222222111011021221110
411001132211212300033
521123414140100142
6422324145303103
733636663065466
oct5013645466017
91188874137843
10345184300047
111234345a1734
1256a95634a93
1326720c8ac22
14129c80679dd
158ea43a499c
hex505e966c0f

345184300047 has 32 divisors (see below), whose sum is σ = 469378441728. Its totient is φ = 225612850176.

The previous prime is 345184299997. The next prime is 345184300057. The reversal of 345184300047 is 740003481543.

It is not a de Polignac number, because 345184300047 - 28 = 345184299791 is a prime.

It is a super-3 number, since 3×3451843000473 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345184299978 and 345184300014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345184300057) 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 31 ways as a sum of consecutive naturals, for example, 13130238 + ... + 13156500.

It is an arithmetic number, because the mean of its divisors is an integer number (14668076304).

Almost surely, 2345184300047 is an apocalyptic number.

345184300047 is a deficient number, since it is larger than the sum of its proper divisors (124194141681).

345184300047 is a wasteful number, since it uses less digits than its factorization.

345184300047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26799.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 345184300047 in words is "three hundred forty-five billion, one hundred eighty-four million, three hundred thousand, forty-seven".

Divisors: 1 3 113 137 283 339 411 849 15481 26263 31979 38771 46443 78789 95937 116313 2967719 3598031 4381123 7432429 8903157 10794093 13143369 22297287 406577503 839864477 1018242773 1219732509 2519593431 3054728319 115061433349 345184300047