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3328032 = 25334667
BaseRepresentation
bin1100101100100000100000
320021002012110
430230200200
51322444112
6155155320
740200501
oct14544040
96232173
103328032
111973444
121145b40
138c6a66
14628ba8
1545b13c
hex32c820

3328032 has 24 divisors (see below), whose sum is σ = 8736336. Its totient is φ = 1109312.

The previous prime is 3328019. The next prime is 3328037. The reversal of 3328032 is 2308233.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33280322 = 22151593986048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17238 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (364014).

Almost surely, 23328032 is an apocalyptic number.

3328032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3328032 is an abundant number, since it is smaller than the sum of its proper divisors (5408304).

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

3328032 is a wasteful number, since it uses less digits than its factorization.

3328032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34680 (or 34672 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3328032 is about 1824.2894507177. The cubic root of 3328032 is about 149.3009247982.

The spelling of 3328032 in words is "three million, three hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34667 69334 104001 138668 208002 277336 416004 554672 832008 1109344 1664016 3328032