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34344643361 = 721136202753
BaseRepresentation
bin11111111111000110…
…011010101100100001
310021122112111122122012
4133333012122230201
51030314212041421
623435552522305
72324043436400
oct377706325441
9107575448565
1034344643361
1113624723986
1267a5b50395
1333145157a2
14193b473637
15d6027a95b
hex7ff19ab21

34344643361 has 12 divisors (see below), whose sum is σ = 40305495492. Its totient is φ = 29177745408.

The previous prime is 34344643331. The next prime is 34344643373. The reversal of 34344643361 is 16334644343.

It can be written as a sum of positive squares in 2 ways, for example, as 4932393361 + 29412250000 = 70231^2 + 171500^2 .

It is not a de Polignac number, because 34344643361 - 214 = 34344626977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34344643321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3095840 + ... + 3106913.

It is an arithmetic number, because the mean of its divisors is an integer number (3358791291).

Almost surely, 234344643361 is an apocalyptic number.

It is an amenable number.

34344643361 is a deficient number, since it is larger than the sum of its proper divisors (5960852131).

34344643361 is a wasteful number, since it uses less digits than its factorization.

34344643361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202880 (or 6202873 counting only the distinct ones).

The product of its digits is 746496, while the sum is 41.

The spelling of 34344643361 in words is "thirty-four billion, three hundred forty-four million, six hundred forty-three thousand, three hundred sixty-one".

Divisors: 1 7 49 113 791 5537 6202753 43419271 303934897 700911089 4906377623 34344643361