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3288420 = 2232518269
BaseRepresentation
bin1100100010110101100100
320012001212100
430202311210
51320212140
6154252100
736644142
oct14426544
96161770
103288420
111946703
121127030
138b1a15
14618592
1544e530
hex322d64

3288420 has 36 divisors (see below), whose sum is σ = 9975420. Its totient is φ = 876864.

The previous prime is 3288419. The next prime is 3288433. The reversal of 3288420 is 248823.

It can be written as a sum of positive squares in 2 ways, for example, as 1790244 + 1498176 = 1338^2 + 1224^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8955 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (277095).

Almost surely, 23288420 is an apocalyptic number.

3288420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3288420 is an abundant number, since it is smaller than the sum of its proper divisors (6687000).

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

3288420 is a wasteful number, since it uses less digits than its factorization.

3288420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3288420 is about 1813.4001213191. The cubic root of 3288420 is about 148.7062060659.

The spelling of 3288420 in words is "three million, two hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18269 36538 54807 73076 91345 109614 164421 182690 219228 274035 328842 365380 548070 657684 822105 1096140 1644210 3288420