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3305064 = 2337103191
BaseRepresentation
bin1100100110111001101000
320012220200210
430212321220
51321230224
6154501120
740043520
oct14467150
96186623
103305064
111958164
1211347a0
138b9479
14620680
15454429
hex326e68

3305064 has 64 divisors (see below), whose sum is σ = 9584640. Its totient is φ = 930240.

The previous prime is 3305063. The next prime is 3305111. The reversal of 3305064 is 4605033.

3305064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3305064.

It is not an unprimeable number, because it can be changed into a prime (3305063) 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, 17209 + ... + 17399.

It is an arithmetic number, because the mean of its divisors is an integer number (149760).

Almost surely, 23305064 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 3305064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792320).

3305064 is an abundant number, since it is smaller than the sum of its proper divisors (6279576).

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

3305064 is a wasteful number, since it uses less digits than its factorization.

3305064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3305064 is about 1817.9834982749. The cubic root of 3305064 is about 148.9566710341.

The spelling of 3305064 in words is "three million, three hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 191 206 309 382 412 573 618 721 764 824 1146 1236 1337 1442 1528 2163 2292 2472 2674 2884 4011 4326 4584 5348 5768 8022 8652 10696 16044 17304 19673 32088 39346 59019 78692 118038 137711 157384 236076 275422 413133 472152 550844 826266 1101688 1652532 3305064