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3288020 = 225295669
BaseRepresentation
bin1100100010101111010100
320012001022112
430202233110
51320204040
6154250152
736643031
oct14425724
96161275
103288020
11194637a
121126958
138b1798
14618388
1544e365
hex322bd4

3288020 has 24 divisors (see below), whose sum is σ = 7144200. Its totient is φ = 1269632.

The previous prime is 3287989. The next prime is 3288023. The reversal of 3288020 is 208823.

3288020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 3161284 = 356^2 + 1778^2 .

It is a super-2 number, since 2×32880202 = 21622151040800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2255 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 23288020 is an apocalyptic number.

It is an amenable number.

3288020 is an abundant number, since it is smaller than the sum of its proper divisors (3856180).

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

3288020 is a wasteful number, since it uses less digits than its factorization.

3288020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3288020 is about 1813.2898279095. The cubic root of 3288020 is about 148.7001763319.

The spelling of 3288020 in words is "three million, two hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 5669 11338 22676 28345 56690 113380 164401 328802 657604 822005 1644010 3288020