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3268820 = 2251371193
BaseRepresentation
bin1100011110000011010100
320011001222102
430132003110
51314100240
6154021232
736533042
oct14360324
96131872
103268820
111932a05
121117818
138a5b19
14611392
15448815
hex31e0d4

3268820 has 24 divisors (see below), whose sum is σ = 6920424. Its totient is φ = 1296896.

The previous prime is 3268819. The next prime is 3268823. The reversal of 3268820 is 288623.

It can be written as a sum of positive squares in 4 ways, for example, as 432964 + 2835856 = 658^2 + 1684^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144 + ... + 3336.

It is an arithmetic number, because the mean of its divisors is an integer number (288351).

Almost surely, 23268820 is an apocalyptic number.

It is an amenable number.

3268820 is an abundant number, since it is smaller than the sum of its proper divisors (3651604).

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

3268820 is a wasteful number, since it uses less digits than its factorization.

3268820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3268820 is about 1807.9878318175. The cubic root of 3268820 is about 148.4101721437.

The spelling of 3268820 in words is "three million, two hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1193 1370 2386 2740 4772 5965 11930 23860 163441 326882 653764 817205 1634410 3268820