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3240729 = 3440009
BaseRepresentation
bin1100010111001100011001
320002122110000
430113030121
51312200404
6153243213
736355122
oct14271431
96078400
103240729
111913898
121103509
138960bb
14605049
15440339
hex317319

3240729 has 10 divisors (see below), whose sum is σ = 4841210. Its totient is φ = 2160432.

The previous prime is 3240707. The next prime is 3240733. The reversal of 3240729 is 9270423.

3240729 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 only one way, i.e., 3240000 + 729 = 1800^2 + 27^2 .

It is not a de Polignac number, because 3240729 - 211 = 3238681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

3240729 is a modest number, since divided by 729 gives 324 as remainder.

3240729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3240739) 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 9 ways as a sum of consecutive naturals, for example, 19924 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (484121).

Almost surely, 23240729 is an apocalyptic number.

It is an amenable number.

3240729 is a deficient number, since it is larger than the sum of its proper divisors (1600481).

3240729 is an equidigital number, since it uses as much as digits as its factorization.

3240729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40021 (or 40012 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3240729 is about 1800.2024886107. The cubic root of 3240729 is about 147.9838215819.

It can be divided in two parts, 3240 and 729, that added together give a square (3969 = 632).

The spelling of 3240729 in words is "three million, two hundred forty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 40009 120027 360081 1080243 3240729