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34066340 = 22571122011
BaseRepresentation
bin1000000111110…
…0111110100100
32101002202020022
42001330332210
532210110330
63214054312
7562362530
oct201747644
971082208
1034066340
1118258600
12b4aa398
137099ac9
14474abc0
152ecdae5
hex207cfa4

34066340 has 72 divisors (see below), whose sum is σ = 89912256. Its totient is φ = 10612800.

The previous prime is 34066337. The next prime is 34066379. The reversal of 34066340 is 4366043.

34066340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 15935 + ... + 17945.

Almost surely, 234066340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44956128).

34066340 is an abundant number, since it is smaller than the sum of its proper divisors (55845916).

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

34066340 is a wasteful number, since it uses less digits than its factorization.

34066340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 34066340 is about 5836.6377307488. The cubic root of 34066340 is about 324.1717450480.

The spelling of 34066340 in words is "thirty-four million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2011 2420 3388 4022 4235 8044 8470 10055 14077 16940 20110 22121 28154 40220 44242 56308 70385 88484 110605 140770 154847 221210 243331 281540 309694 442420 486662 619388 774235 973324 1216655 1548470 1703317 2433310 3096940 3406634 4866620 6813268 8516585 17033170 34066340