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33363996 = 22317413989
BaseRepresentation
bin111111101000…
…1100000011100
32022210001210120
41333101200130
532020121441
63151034540
7553406061
oct177214034
968701716
1033363996
1117918956
12b20ba50
136bb2213
144606c68
152de0966
hex1fd181c

33363996 has 48 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 10209280.

The previous prime is 33363983. The next prime is 33364027. The reversal of 33363996 is 69936333.

It is a super-2 number, since 2×333639962 = 2226312458176032, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6370 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 233363996 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 33363996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

33363996 is an abundant number, since it is smaller than the sum of its proper divisors (51096324).

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

33363996 is a wasteful number, since it uses less digits than its factorization.

33363996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4052 counting only the distinct ones).

The product of its digits is 236196, while the sum is 42.

The square root of 33363996 is about 5776.1575463278. The cubic root of 33363996 is about 321.9284462228.

The spelling of 33363996 in words is "thirty-three million, three hundred sixty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 3989 4182 7978 8364 11967 15956 23934 47868 67813 135626 163549 203439 271252 327098 406878 490647 654196 813756 981294 1962588 2780333 5560666 8340999 11121332 16681998 33363996