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330026564 = 22721739733
BaseRepresentation
bin10011101010111…
…100111001000100
3212000000002100002
4103222330321010
51133441322224
652425340432
711115115400
oct2352747104
9760002302
10330026564
1115a32292a
1292637718
13534b1bba
1431b8c100
151de909ae
hex13abce44

330026564 has 36 divisors (see below), whose sum is σ = 675792684. Its totient is φ = 140607936.

The previous prime is 330026551. The next prime is 330026573. The reversal of 330026564 is 465620033.

It can be written as a sum of positive squares in 2 ways, for example, as 294122500 + 35904064 = 17150^2 + 5992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29042 + ... + 38774.

It is an arithmetic number, because the mean of its divisors is an integer number (18772019).

Almost surely, 2330026564 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 330026564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337896342).

330026564 is an abundant number, since it is smaller than the sum of its proper divisors (345766120).

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

330026564 is a wasteful number, since it uses less digits than its factorization.

330026564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9924 (or 9915 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 330026564 is about 18166.6332599081. The cubic root of 330026564 is about 691.0608647746.

Adding to 330026564 its reverse (465620033), we get a palindrome (795646597).

The spelling of 330026564 in words is "three hundred thirty million, twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 8477 9733 16954 19466 33908 38932 68131 136262 272524 476917 953834 1683809 1907668 3367618 6735236 11786663 23573326 47146652 82506641 165013282 330026564