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3280806 = 2321953181
BaseRepresentation
bin1100100000111110100110
320011200102100
430200332212
51314441211
6154152530
736613014
oct14407646
96150370
103280806
111940a11
121122746
138ab409
146158b4
1544c156
hex320fa6

3280806 has 48 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 1010880.

The previous prime is 3280801. The next prime is 3280811. The reversal of 3280806 is 6080823.

3280806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3280801) and next prime (3280811).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3280806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280801) 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 23 ways as a sum of consecutive naturals, for example, 18036 + ... + 18216.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 23280806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

3280806 is an abundant number, since it is smaller than the sum of its proper divisors (4385034).

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

3280806 is a wasteful number, since it uses less digits than its factorization.

3280806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3280806 is about 1811.2995334842. The cubic root of 3280806 is about 148.5913460371.

The spelling of 3280806 in words is "three million, two hundred eighty thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 181 318 342 362 477 543 954 1007 1086 1629 2014 3021 3258 3439 6042 6878 9063 9593 10317 18126 19186 20634 28779 30951 57558 61902 86337 172674 182267 364534 546801 1093602 1640403 3280806