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34266834 = 2337269337
BaseRepresentation
bin1000001010110…
…1111011010010
32101110221021000
42002231323102
532233014314
63222242430
7564156210
oct202557322
971427230
1034266834
11183851a8
12b586416
13713a144
14479dcb0
15301d209
hex20aded2

34266834 has 64 divisors (see below), whose sum is σ = 87609600. Its totient is φ = 9725184.

The previous prime is 34266833. The next prime is 34266853. The reversal of 34266834 is 43866243.

It is a happy number.

34266834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34266833) by changing a digit.

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, 101514 + ... + 101850.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 234266834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34266834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804800).

34266834 is an abundant number, since it is smaller than the sum of its proper divisors (53342766).

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

34266834 is a wasteful number, since it uses less digits than its factorization.

34266834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34266834 is about 5853.7880043609. The cubic root of 34266834 is about 324.8064614959.

It can be divided in two parts, 342 and 66834, that added together give a palindrome (67176).

The spelling of 34266834 in words is "thirty-four million, two hundred sixty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 269 337 378 538 674 807 1011 1614 1883 2022 2359 2421 3033 3766 4718 4842 5649 6066 7077 7263 9099 11298 14154 14526 16947 18198 21231 33894 42462 50841 63693 90653 101682 127386 181306 271959 543918 634571 815877 1269142 1631754 1903713 2447631 3807426 4895262 5711139 11422278 17133417 34266834