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34399134 = 2337118273
BaseRepresentation
bin1000001100111…
…0001110011110
32101201122202000
42003032032132
532301233014
63225143130
7565250010
oct203161636
971648660
1034399134
1118465640
12b62aaa6
137185423
1447d61b0
153047509
hex20ce39e

34399134 has 64 divisors (see below), whose sum is σ = 95316480. Its totient is φ = 8933760.

The previous prime is 34399129. The next prime is 34399153. The reversal of 34399134 is 43199343.

34399134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (1489320).

Almost surely, 234399134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34399134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47658240).

34399134 is an abundant number, since it is smaller than the sum of its proper divisors (60917346).

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

34399134 is a wasteful number, since it uses less digits than its factorization.

34399134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8296 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 34399134 is about 5865.0774930942. The cubic root of 34399134 is about 325.2239371822.

The spelling of 34399134 in words is "thirty-four million, three hundred ninety-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 8273 16546 24819 49638 57911 74457 91003 115822 148914 173733 182006 223371 273009 347466 446742 521199 546018 637021 819027 1042398 1274042 1563597 1638054 1911063 2457081 3127194 3822126 4914162 5733189 11466378 17199567 34399134