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36230634 = 23211414463
BaseRepresentation
bin1000101000110…
…1010111101010
32112011201002100
42022031113222
533233340014
63332314230
7616645446
oct212152752
975151070
1036230634
11194a6680
1210172976
137676c5b
144b51826
1532aa009
hex228d5ea

36230634 has 48 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 10708800.

The previous prime is 36230633. The next prime is 36230653. The reversal of 36230634 is 43603263.

36230634 is a `hidden beast` number, since 3 + 6 + 23 + 0 + 634 = 666.

36230634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36230598 and 36230607.

It is not an unprimeable number, because it can be changed into a prime (36230633) 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 23 ways as a sum of consecutive naturals, for example, 5887 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 236230634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36230634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

36230634 is an abundant number, since it is smaller than the sum of its proper divisors (51513750).

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

36230634 is a wasteful number, since it uses less digits than its factorization.

36230634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 36230634 is about 6019.1888157791. The cubic root of 36230634 is about 330.8963509923.

Adding to 36230634 its reverse (43603263), we get a palindrome (79833897).

It can be divided in two parts, 36230 and 634, that added together give a square (36864 = 1922).

The spelling of 36230634 in words is "thirty-six million, two hundred thirty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 4463 8118 8926 13389 26778 40167 49093 80334 98186 147279 182983 294558 365966 441837 548949 883674 1097898 1646847 2012813 3293694 4025626 6038439 12076878 18115317 36230634