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34113310434 = 233790246853
BaseRepresentation
bin11111110001010011…
…111100111011100010
310021001102012201112000
4133301103330323202
51024331001413214
623401010344430
72315234232360
oct376123747342
9107042181460
1034113310434
1113516090045
12674058b116
1332a860a8b8
141918856630
15d49cd2809
hex7f14fcee2

34113310434 has 32 divisors (see below), whose sum is σ = 86636979840. Its totient is φ = 9746660016.

The previous prime is 34113310433. The next prime is 34113310463. The reversal of 34113310434 is 43401331143.

34113310434 is a `hidden beast` number, since 341 + 1 + 3 + 310 + 4 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34113310398 and 34113310407.

It is not an unprimeable number, because it can be changed into a prime (34113310433) 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, 45123049 + ... + 45123804.

It is an arithmetic number, because the mean of its divisors is an integer number (2707405620).

Almost surely, 234113310434 is an apocalyptic number.

34113310434 is an abundant number, since it is smaller than the sum of its proper divisors (52523669406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34113310434 is a wasteful number, since it uses less digits than its factorization.

34113310434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90246871 (or 90246865 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34113310434 its reverse (43401331143), we get a palindrome (77514641577).

The spelling of 34113310434 in words is "thirty-four billion, one hundred thirteen million, three hundred ten thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 90246853 180493706 270740559 541481118 631727971 812221677 1263455942 1624443354 1895183913 2436665031 3790367826 4873330062 5685551739 11371103478 17056655217 34113310434