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345405504543 = 31121661483211
BaseRepresentation
bin1010000011010111100…
…01011011110000011111
31020000112220101122110120
411001223301123300133
521124342302121133
6422402130410023
733645320226531
oct5015361336037
91200486348416
10345405504543
11123538447970
1256b37730913
1326757a5a968
1412a095a9851
158eb89ebab3
hex506bc5bc1f

345405504543 has 16 divisors (see below), whose sum is σ = 502432240512. Its totient is φ = 209326572000.

The previous prime is 345405504529. The next prime is 345405504593.

345405504543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345405504543 - 28 = 345405504287 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345405504495 and 345405504504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345405504593) 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, 473208 + ... + 956418.

It is an arithmetic number, because the mean of its divisors is an integer number (31402015032).

Almost surely, 2345405504543 is an apocalyptic number.

345405504543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345405504543 is a deficient number, since it is larger than the sum of its proper divisors (157026735969).

345405504543 is a wasteful number, since it uses less digits than its factorization.

345405504543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504886.

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 345405 and 504543, that added together give a palindrome (849948).

The spelling of 345405504543 in words is "three hundred forty-five billion, four hundred five million, five hundred four thousand, five hundred forty-three".

Divisors: 1 3 11 33 21661 64983 238271 483211 714813 1449633 5315321 15945963 10466833471 31400500413 115135168181 345405504543