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34316261343 = 3271341900197
BaseRepresentation
bin11111111101011010…
…001001011111011111
310021120120002200211100
4133331122021133133
51030234430330333
623433100324143
72323250260110
oct377532113737
9107516080740
1034316261343
111360a6a9071
126798543653
13330b6890b0
1419377a6207
15d5ca21213
hex7fd6897df

34316261343 has 24 divisors (see below), whose sum is σ = 61006688288. Its totient is φ = 18100884672.

The previous prime is 34316261333. The next prime is 34316261381.

34316261343 is a `hidden beast` number, since 3 + 4 + 31 + 6 + 2 + 613 + 4 + 3 = 666.

34316261343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34316261343 - 26 = 34316261279 is a prime.

It is a super-2 number, since 2×343162613432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34316261298 and 34316261307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34316261333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20949280 + ... + 20950917.

Almost surely, 234316261343 is an apocalyptic number.

34316261343 is a deficient number, since it is larger than the sum of its proper divisors (26690426945).

34316261343 is a wasteful number, since it uses less digits than its factorization.

34316261343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41900223 (or 41900220 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 34316261343 in words is "thirty-four billion, three hundred sixteen million, two hundred sixty-one thousand, three hundred forty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 41900197 125700591 293301379 377101773 544702561 879904137 1634107683 2639712411 3812917927 4902323049 11438753781 34316261343