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3328900 = 225233289
BaseRepresentation
bin1100101100101110000100
320021010101121
430230232010
51323011100
6155203324
740203151
oct14545604
96233347
103328900
111974063
121146544
138c7283
14629228
1545b51a
hex32cb84

3328900 has 18 divisors (see below), whose sum is σ = 7223930. Its totient is φ = 1331520.

The previous prime is 3328891. The next prime is 3328901. The reversal of 3328900 is 98233.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 3319684 = 96^2 + 1822^2 .

It is a super-2 number, since 2×33289002 = 22163150420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3328901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16545 + ... + 16744.

Almost surely, 23328900 is an apocalyptic number.

It is an amenable number.

3328900 is an abundant number, since it is smaller than the sum of its proper divisors (3895030).

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

3328900 is a wasteful number, since it uses less digits than its factorization.

3328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33303 (or 33296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 3328900 is about 1824.5273360517. The cubic root of 3328900 is about 149.3139036335.

The spelling of 3328900 in words is "three million, three hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 33289 66578 133156 166445 332890 665780 832225 1664450 3328900