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34065234 = 2327377307
BaseRepresentation
bin1000000111110…
…0101101010010
32101002200201100
42001330231102
532210041414
63214045230
7562356360
oct201745522
971080640
1034065234
1118257795
12b4a9816
137099458
14474a630
152ecd609
hex207cb52

34065234 has 48 divisors (see below), whose sum is σ = 86643648. Its totient is φ = 9468576.

The previous prime is 34065223. The next prime is 34065247. The reversal of 34065234 is 43256043.

34065234 is a `hidden beast` number, since 3 + 4 + 0 + 652 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34065198 and 34065207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (1805076).

Almost surely, 234065234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34065234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43321824).

34065234 is an abundant number, since it is smaller than the sum of its proper divisors (52578414).

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

34065234 is a wasteful number, since it uses less digits than its factorization.

34065234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34065234 is about 5836.5429836505. The cubic root of 34065234 is about 324.1682368164.

The spelling of 34065234 in words is "thirty-four million, sixty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 7307 14614 21921 43842 51149 65763 102298 131526 153447 270359 306894 460341 540718 811077 920682 1622154 1892513 2433231 3785026 4866462 5677539 11355078 17032617 34065234