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3020264 = 2313113257
BaseRepresentation
bin1011100001010111101000
312200110000122
423201113220
51233122024
6144422412
734446302
oct13412750
95613018
103020264
111783195
121017a08
13819950
14588972
153e9d5e
hex2e15e8

3020264 has 32 divisors (see below), whose sum is σ = 6176520. Its totient is φ = 1376256.

The previous prime is 3020261. The next prime is 3020279. The reversal of 3020264 is 4620203.

3020264 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 2102500 + 917764 = 1450^2 + 958^2 .

It is not an unprimeable number, because it can be changed into a prime (3020261) 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, 11624 + ... + 11880.

Almost surely, 23020264 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 3020264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088260).

3020264 is an abundant number, since it is smaller than the sum of its proper divisors (3156256).

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

3020264 is a wasteful number, since it uses less digits than its factorization.

3020264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3020264 is about 1737.8906755029. The cubic root of 3020264 is about 144.5489591166.

Adding to 3020264 its reverse (4620203), we get a palindrome (7640467).

The spelling of 3020264 in words is "three million, twenty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 257 452 514 904 1028 1469 2056 2938 3341 5876 6682 11752 13364 26728 29041 58082 116164 232328 377533 755066 1510132 3020264