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343233242332343 = 11253187823284957
BaseRepresentation
bin100111000001010110011011…
…1011110111111110010110111
31200000021202222210202000022022
41032002230313132333302313
5324442013140014113333
63213555101424423355
7132203532500104556
oct11602546736776267
91600252883660268
10343233242332343
119a401445251800
12325b4a9a477b5b
13119699a985457c
1460a8812bbbd9d
1529a343e82dc98
hex1382b377bfcb7

343233242332343 has 24 divisors (see below), whose sum is σ = 384394654897344. Its totient is φ = 306140153359040.

The previous prime is 343233242332297. The next prime is 343233242332373.

343233242332343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343233242332343 - 214 = 343233242315959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343233242332294 and 343233242332303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343233242332373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204366421 + ... + 1204651377.

It is an arithmetic number, because the mean of its divisors is an integer number (16016443954056).

Almost surely, 2343233242332343 is an apocalyptic number.

343233242332343 is a deficient number, since it is larger than the sum of its proper divisors (41161412565001).

343233242332343 is a wasteful number, since it uses less digits than its factorization.

343233242332343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472855 (or 472844 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 44.

The spelling of 343233242332343 in words is "three hundred forty-three trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred thirty-two thousand, three hundred forty-three".

Divisors: 1 11 53 121 583 6413 187823 284957 2066053 3134527 9954619 15102721 22726583 34479797 109500809 166129931 1204508899 1827429241 53521478611 588736264721 2836638366383 6476098911931 31203022030213 343233242332343