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348750385116 = 22374151790299
BaseRepresentation
bin1010001001100110010…
…01001000111111011100
31020100012000101012000020
411010303021020333130
521203220044310431
6424114055032140
734124234235120
oct5046311107734
91210160335006
10348750385116
111249a4556181
125770b96b650
1326b6ba25133
1412c45909580
1591124b7696
hex5133248fdc

348750385116 has 24 divisors (see below), whose sum is σ = 930001027200. Its totient is φ = 99642967152.

The previous prime is 348750385111. The next prime is 348750385133. The reversal of 348750385116 is 611583057843.

It is a super-2 number, since 2×3487503851162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348750385111) 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 7 ways as a sum of consecutive naturals, for example, 2075895066 + ... + 2075895233.

It is an arithmetic number, because the mean of its divisors is an integer number (38750042800).

Almost surely, 2348750385116 is an apocalyptic number.

It is an amenable number.

348750385116 is an abundant number, since it is smaller than the sum of its proper divisors (581250642084).

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

348750385116 is a wasteful number, since it uses less digits than its factorization.

348750385116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151790313 (or 4151790311 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

It can be divided in two parts, 348750 and 385116, that added together give a triangular number (733866 = T1211).

The spelling of 348750385116 in words is "three hundred forty-eight billion, seven hundred fifty million, three hundred eighty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 4151790299 8303580598 12455370897 16607161196 24910741794 29062532093 49821483588 58125064186 87187596279 116250128372 174375192558 348750385116