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343214134011 = 347797662227
BaseRepresentation
bin1001111111010010010…
…10000001001011111011
31012210220011221111020000
410333221022001023323
521110400304242021
6421400450004043
733540111001260
oct4775112011373
91183804844200
10343214134011
11122613481841
1256625876623
1326498a5b0c8
141287c537267
158ddb436b26
hex4fe92812fb

343214134011 has 40 divisors (see below), whose sum is σ = 593362936320. Its totient is φ = 193639775472.

The previous prime is 343214133989. The next prime is 343214134037. The reversal of 343214134011 is 110431412343.

343214134011 is a `hidden beast` number, since 3 + 43 + 214 + 1 + 3 + 401 + 1 = 666.

It is not a de Polignac number, because 343214134011 - 233 = 334624199419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (343214134051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3786321 + ... + 3875906.

It is an arithmetic number, because the mean of its divisors is an integer number (14834073408).

Almost surely, 2343214134011 is an apocalyptic number.

343214134011 is a deficient number, since it is larger than the sum of its proper divisors (250148802309).

343214134011 is an equidigital number, since it uses as much as digits as its factorization.

343214134011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662325 (or 7662316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 343214134011 its reverse (110431412343), we get a palindrome (453645546354).

The spelling of 343214134011 in words is "three hundred forty-three billion, two hundred fourteen million, one hundred thirty-four thousand, eleven".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 553 567 711 1659 2133 4977 6399 14931 44793 7662227 22986681 53635589 68960043 160906767 206880129 482720301 605315933 620640387 1448160903 1815947799 4237211531 4344482709 5447843397 12711634593 16343530191 38134903779 49030590573 114404711337 343214134011