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33120324 = 22321019109
BaseRepresentation
bin111111001011…
…0000001000100
32022022200112200
41332112001010
531434322244
63141514500
7551342466
oct176260104
968280480
1033120324
1117771876
12b112a30
136b28333
144582136
152d93669
hex1f96044

33120324 has 36 divisors (see below), whose sum is σ = 84559020. Its totient is φ = 10929600.

The previous prime is 33120323. The next prime is 33120343. The reversal of 33120324 is 42302133.

It can be written as a sum of positive squares in 2 ways, for example, as 18922500 + 14197824 = 4350^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33120297 and 33120306.

It is not an unprimeable number, because it can be changed into a prime (33120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919 + ... + 8190.

Almost surely, 233120324 is an apocalyptic number.

It is an amenable number.

33120324 is an abundant number, since it is smaller than the sum of its proper divisors (51438696).

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

33120324 is a wasteful number, since it uses less digits than its factorization.

33120324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33120324 is about 5755.0259773523. The cubic root of 33120324 is about 321.1428019242.

Adding to 33120324 its reverse (42302133), we get a palindrome (75422457).

The spelling of 33120324 in words is "thirty-three million, one hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 9109 18218 27327 36436 54654 81981 109308 163962 327924 920009 1840018 2760027 3680036 5520054 8280081 11040108 16560162 33120324