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34310114334 = 23211031728121
BaseRepresentation
bin11111111101000010…
…101100110000011110
310021120010112101201100
4133331002230300132
51030231342124314
623432320453530
72323144105566
oct377502546036
9107503471640
1034310114334
111360718a7a1
12679647a2a6
13330a316202
141936a45da6
15d5c209c09
hex7fd0acc1e

34310114334 has 24 divisors (see below), whose sum is σ = 74406020832. Its totient is φ = 11426329440.

The previous prime is 34310114327. The next prime is 34310114401. The reversal of 34310114334 is 43341101343.

34310114334 is a `hidden beast` number, since 3 + 4 + 310 + 1 + 14 + 334 = 666.

It is a super-2 number, since 2×343101143342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34310114298 and 34310114307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844207 + ... + 883914.

It is an arithmetic number, because the mean of its divisors is an integer number (3100250868).

Almost surely, 234310114334 is an apocalyptic number.

34310114334 is an abundant number, since it is smaller than the sum of its proper divisors (40095906498).

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

34310114334 is a wasteful number, since it uses less digits than its factorization.

34310114334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729232 (or 1729229 counting only the distinct ones).

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

Adding to 34310114334 its reverse (43341101343), we get a palindrome (77651215677).

It can be divided in two parts, 343101 and 14334, that added together give a triangular number (357435 = T845).

The spelling of 34310114334 in words is "thirty-four billion, three hundred ten million, one hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 1103 2206 3309 6618 9927 19854 1728121 3456242 5184363 10368726 15553089 31106178 1906117463 3812234926 5718352389 11436704778 17155057167 34310114334