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30663306 = 23337103149
BaseRepresentation
bin111010011111…
…0001010001010
32010200212011000
41310332022022
530322211211
63013115430
7521430252
oct164761212
963625130
1030663306
1116343883
12a328b76
136477b8b
144102962
152a5a656
hex1d3e28a

30663306 has 64 divisors (see below), whose sum is σ = 71136000. Its totient is φ = 9782208.

The previous prime is 30663299. The next prime is 30663307. The reversal of 30663306 is 60336603.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30663306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30663307) 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, 205720 + ... + 205868.

It is an arithmetic number, because the mean of its divisors is an integer number (1111500).

Almost surely, 230663306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30663306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35568000).

30663306 is an abundant number, since it is smaller than the sum of its proper divisors (40472694).

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

30663306 is a wasteful number, since it uses less digits than its factorization.

30663306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 30663306 is about 5537.4458010892. The cubic root of 30663306 is about 312.9966281488.

Adding to 30663306 its reverse (60336603), we get a palindrome (90999909).

The spelling of 30663306 in words is "thirty million, six hundred sixty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 103 111 149 206 222 298 309 333 447 618 666 894 927 999 1341 1854 1998 2682 2781 3811 4023 5513 5562 7622 8046 11026 11433 15347 16539 22866 30694 33078 34299 46041 49617 68598 92082 99234 102897 138123 148851 205794 276246 297702 414369 567839 828738 1135678 1703517 3407034 5110551 10221102 15331653 30663306