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343243262342343 = 311223154181266647
BaseRepresentation
bin100111000001011011000110…
…0101110010011010011000111
31200000022201212010011020222210
41032002312030232103103013
5324442144200124423333
63214003440004154503
7132204336006556656
oct11602661456232307
91600281763136883
10343243262342343
119a405717293600
12325b6a16098a33
131196a91572987c
1460a90c386d19d
1529a3829340a63
hex1382d8cb934c7

343243262342343 has 48 divisors (see below), whose sum is σ = 524922126478848. Its totient is φ = 198979564555200.

The previous prime is 343243262342257. The next prime is 343243262342353.

343243262342343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343243262342343 - 28 = 343243262342087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343243262342292 and 343243262342301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343243262342353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287123846 + ... + 1287390492.

It is an arithmetic number, because the mean of its divisors is an integer number (10935877634976).

Almost surely, 2343243262342343 is an apocalyptic number.

343243262342343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343243262342343 is a deficient number, since it is larger than the sum of its proper divisors (181678864136505).

343243262342343 is a wasteful number, since it uses less digits than its factorization.

343243262342343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420876 (or 420865 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 48.

The spelling of 343243262342343 in words is "three hundred forty-three trillion, two hundred forty-three billion, two hundred sixty-two million, three hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 11 23 33 69 121 253 363 759 2783 8349 154181 266647 462543 799941 1695991 2933117 3546163 5087973 6132881 8799351 10638489 18398643 18655901 32264287 39007793 55967703 67461691 96792861 117023379 202385073 429085723 742078601 1287257169 2226235803 41111901107 123335703321 452230912177 945573725461 1356692736531 2836721176383 4974540033947 10401310980071 14923620101841 31203932940213 114414420780781 343243262342343