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345438834543 = 33111163093719
BaseRepresentation
bin1010000011011011100…
…00100100111101101111
31020000122020002222122000
411001231300210331233
521124424320201133
6422405321023343
733646203434535
oct5015560447557
91200566088560
10345438834543
11123555242220
1256b46924b53
132676192a55a
1412a0dba4155
158ebb8d2413
hex506dc24f6f

345438834543 has 16 divisors (see below), whose sum is σ = 558284985600. Its totient is φ = 209356869240.

The previous prime is 345438834443. The next prime is 345438834547.

345438834543 is a `hidden beast` number, since 3 + 454 + 38 + 83 + 45 + 43 = 666.

345438834543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345438834543 - 214 = 345438818159 is a prime.

It is a super-2 number, since 2×3454388345432 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345438834543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345438834547) 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, 581546563 + ... + 581547156.

It is an arithmetic number, because the mean of its divisors is an integer number (34892811600).

Almost surely, 2345438834543 is an apocalyptic number.

345438834543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345438834543 is a deficient number, since it is larger than the sum of its proper divisors (212846151057).

345438834543 is a wasteful number, since it uses less digits than its factorization.

345438834543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163093739 (or 1163093733 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 345438834543 in words is "three hundred forty-five billion, four hundred thirty-eight million, eight hundred thirty-four thousand, five hundred forty-three".

Divisors: 1 3 9 11 27 33 99 297 1163093719 3489281157 10467843471 12794030909 31403530413 38382092727 115146278181 345438834543