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33364044 = 22327433079
BaseRepresentation
bin111111101000…
…1100001001100
32022210001212100
41333101201030
532020122134
63151035100
7553406160
oct177214114
968701770
1033364044
111791899a
12b20ba90
136bb224c
144606ca0
152de0999
hex1fd184c

33364044 has 72 divisors (see below), whose sum is σ = 98658560. Its totient is φ = 9307872.

The previous prime is 33364039. The next prime is 33364061. The reversal of 33364044 is 44046333.

It is a super-2 number, since 2×333640442 = 2226318864067872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33363999 and 33364017.

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, 9297 + ... + 12375.

Almost surely, 233364044 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 33364044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329280).

33364044 is an abundant number, since it is smaller than the sum of its proper divisors (65294516).

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

33364044 is a wasteful number, since it uses less digits than its factorization.

33364044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 33364044 is about 5776.1617013377. The cubic root of 33364044 is about 321.9286006064.

The spelling of 33364044 in words is "thirty-three million, three hundred sixty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3079 3612 5418 6158 9237 10836 12316 18474 21553 27711 36948 43106 55422 64659 86212 110844 129318 132397 193977 258636 264794 387954 397191 529588 775908 794382 926779 1191573 1588764 1853558 2383146 2780337 3707116 4766292 5560674 8341011 11121348 16682022 33364044