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34361416343 = 1910117905897
BaseRepresentation
bin100000000000000110…
…011001101010010111
310021200201001210211202
4200000012121222113
51030333010310333
623441352223115
72324336135252
oct400006315227
9107621053752
1034361416343
111363313a751
1267ab69aa9b
133317b39127
14193d79c099
15d619905e8
hex800199a97

34361416343 has 8 divisors (see below), whose sum is σ = 36528031920. Its totient is φ = 32230612800.

The previous prime is 34361416339. The next prime is 34361416363.

34361416343 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34361416343 - 22 = 34361416339 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34361416297 and 34361416306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34361416363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8951030 + ... + 8954867.

It is an arithmetic number, because the mean of its divisors is an integer number (4566003990).

Almost surely, 234361416343 is an apocalyptic number.

34361416343 is a deficient number, since it is larger than the sum of its proper divisors (2166615577).

34361416343 is a wasteful number, since it uses less digits than its factorization.

34361416343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17906017.

The product of its digits is 186624, while the sum is 38.

The spelling of 34361416343 in words is "thirty-four billion, three hundred sixty-one million, four hundred sixteen thousand, three hundred forty-three".

Divisors: 1 19 101 1919 17905897 340212043 1808495597 34361416343