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343314424413343 = 88721131239114783
BaseRepresentation
bin100111000001111100001111…
…0010100000011110010011111
31200000120112112112011000121001
41032003320132110003302133
5324444330420122211333
63214100245210251131
7132212435324313505
oct11603703624036237
91600515475130531
10343314424413343
119a432914435829
1232608776126aa7
13119745468486a6
1460ac714940675
1529a55e1998b7d
hex1383e1e503c9f

343314424413343 has 16 divisors (see below), whose sum is σ = 343915149828096. Its totient is φ = 342714232143360.

The previous prime is 343314424413313. The next prime is 343314424413349.

343314424413343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 343314424413343 - 245 = 308130052324511 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343314424413293 and 343314424413302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343314424413349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23223588930 + ... + 23223603712.

It is an arithmetic number, because the mean of its divisors is an integer number (21494696864256).

Almost surely, 2343314424413343 is an apocalyptic number.

343314424413343 is a deficient number, since it is larger than the sum of its proper divisors (600725414753).

343314424413343 is a wasteful number, since it uses less digits than its factorization.

343314424413343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30174.

The product of its digits is 5971968, while the sum is 46.

The spelling of 343314424413343 in words is "three hundred forty-three trillion, three hundred fourteen billion, four hundred twenty-four million, four hundred thirteen thousand, three hundred forty-three".

Divisors: 1 887 2113 12391 14783 1874231 10990817 13112521 26182183 31236479 183176153 23223596321 27706756873 162477247711 387051211289 343314424413343