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34345414311 = 3133312660579
BaseRepresentation
bin11111111111001001…
…010110111010100111
310021122120221211011220
4133333021112322213
51030314411224221
623440021231423
72324053130145
oct377711267247
9107576854156
1034345414311
111362510012a
1267a6262573
133314725680
14193b5d4595
15d6037e0c6
hex7ff256ea7

34345414311 has 16 divisors (see below), whose sum is σ = 49465503360. Its totient is φ = 21071777760.

The previous prime is 34345414297. The next prime is 34345414333. The reversal of 34345414311 is 11341454343.

It is not a de Polignac number, because 34345414311 - 226 = 34278305447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345414111) 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, 1317381 + ... + 1343198.

It is an arithmetic number, because the mean of its divisors is an integer number (3091593960).

Almost surely, 234345414311 is an apocalyptic number.

34345414311 is a deficient number, since it is larger than the sum of its proper divisors (15120089049).

34345414311 is a wasteful number, since it uses less digits than its factorization.

34345414311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660926.

The product of its digits is 34560, while the sum is 33.

Adding to 34345414311 its reverse (11341454343), we get a palindrome (45686868654).

The spelling of 34345414311 in words is "thirty-four billion, three hundred forty-five million, four hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 13 39 331 993 4303 12909 2660579 7981737 34587527 103762581 880651649 2641954947 11448471437 34345414311