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3328064 = 26149349
BaseRepresentation
bin1100101100100001000000
320021002020122
430230201000
51322444224
6155155412
740200545
oct14544100
96232218
103328064
111973473
121145b68
138c6a8c
14628bcc
1545b15e
hex32c840

3328064 has 28 divisors (see below), whose sum is σ = 6667500. Its totient is φ = 1648128.

The previous prime is 3328063. The next prime is 3328111. The reversal of 3328064 is 4608233.

It can be written as a sum of positive squares in 2 ways, for example, as 1345600 + 1982464 = 1160^2 + 1408^2 .

It is a super-2 number, since 2×33280642 = 22152019976192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328063) 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, 9362 + ... + 9710.

It is an arithmetic number, because the mean of its divisors is an integer number (238125).

Almost surely, 23328064 is an apocalyptic number.

It is an amenable number.

3328064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3328064 is a wasteful number, since it uses less digits than its factorization.

3328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3328064 is about 1824.2982212347. The cubic root of 3328064 is about 149.3014033207.

The spelling of 3328064 in words is "three million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 149 298 349 596 698 1192 1396 2384 2792 4768 5584 9536 11168 22336 52001 104002 208004 416008 832016 1664032 3328064