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34341814297 = 722936136689
BaseRepresentation
bin11111111110111011…
…101000000000011001
310021122100011220220001
4133332323220000121
51030313001024142
623435412133001
72324010414400
oct377673500031
9107570156801
1034341814297
111362307140a
1267a5007161
133313a64b9b
14193ad38637
15d5edbc5b7
hex7feee8019

34341814297 has 24 divisors (see below), whose sum is σ = 41343798600. Its totient is φ = 28408697856.

The previous prime is 34341814279. The next prime is 34341814301. The reversal of 34341814297 is 79241814343.

It can be written as a sum of positive squares in 4 ways, for example, as 1454354496 + 32887459801 = 38136^2 + 181349^2 .

It is a de Polignac number, because none of the positive numbers 2k-34341814297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34341814207) 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, 5130729 + ... + 5137417.

It is an arithmetic number, because the mean of its divisors is an integer number (1722658275).

Almost surely, 234341814297 is an apocalyptic number.

It is an amenable number.

34341814297 is a deficient number, since it is larger than the sum of its proper divisors (7001984303).

34341814297 is a wasteful number, since it uses less digits than its factorization.

34341814297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10338 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

Adding to 34341814297 its sum of digits (46), we get a palindrome (34341814343).

The spelling of 34341814297 in words is "thirty-four billion, three hundred forty-one million, eight hundred fourteen thousand, two hundred ninety-seven".

Divisors: 1 7 29 49 203 1421 3613 6689 25291 46823 104777 177037 193981 327761 733439 1357867 5134073 9505069 24167357 169171499 700853353 1184200493 4905973471 34341814297