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3328002 = 2321937263
BaseRepresentation
bin1100101100100000000010
320021002011100
430230200002
51322444002
6155155230
740200426
oct14544002
96232140
103328002
111973417
121145b16
138c6a42
14628b86
1545b11c
hex32c802

3328002 has 48 divisors (see below), whose sum is σ = 7824960. Its totient is φ = 1018656.

The previous prime is 3327991. The next prime is 3328007. The reversal of 3328002 is 2008233.

It is a super-2 number, since 2×33280022 = 22151194624008, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3328007) 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 23 ways as a sum of consecutive naturals, for example, 12523 + ... + 12785.

It is an arithmetic number, because the mean of its divisors is an integer number (163020).

Almost surely, 23328002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912480).

3328002 is an abundant number, since it is smaller than the sum of its proper divisors (4496958).

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

3328002 is a wasteful number, since it uses less digits than its factorization.

3328002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3328002 is about 1824.2812283198. The cubic root of 3328002 is about 149.3004761806.

The spelling of 3328002 in words is "three million, three hundred twenty-eight thousand, two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 263 333 342 526 666 703 789 1406 1578 2109 2367 4218 4734 4997 6327 9731 9994 12654 14991 19462 29193 29982 44973 58386 87579 89946 175158 184889 369778 554667 1109334 1664001 3328002