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3282916 = 2271329311
BaseRepresentation
bin1100100001011111100100
320011210022111
430201133210
51320023131
6154210404
736622120
oct14413744
96153274
103282916
11194255a
121123a04
138ac370
14616580
1544cab1
hex3217e4

3282916 has 48 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 1249920.

The previous prime is 3282913. The next prime is 3282977. The reversal of 3282916 is 6192823.

3282916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3282913) 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 15 ways as a sum of consecutive naturals, for example, 10401 + ... + 10711.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 23282916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

3282916 is an abundant number, since it is smaller than the sum of its proper divisors (4055324).

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

3282916 is a wasteful number, since it uses less digits than its factorization.

3282916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 3282916 is about 1811.8818946057. The cubic root of 3282916 is about 148.6231939581.

The spelling of 3282916 in words is "three million, two hundred eighty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 311 364 377 406 622 754 812 1244 1508 2177 2639 4043 4354 5278 8086 8708 9019 10556 16172 18038 28301 36076 56602 63133 113204 117247 126266 234494 252532 468988 820729 1641458 3282916