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2705329 = 111722337
BaseRepresentation
bin1010010100011110110001
312002110000101
422110132301
51143032304
6133552401
731665154
oct12243661
95073011
102705329
111588610
12aa5701
137394b3
14505c9b
153868a4
hex2947b1

2705329 has 24 divisors (see below), whose sum is σ = 3359808. Its totient is φ = 2154240.

The previous prime is 2705321. The next prime is 2705341. The reversal of 2705329 is 9235072.

2705329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2705329 - 23 = 2705321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2705297 and 2705306.

It is not an unprimeable number, because it can be changed into a prime (2705321) 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 23 ways as a sum of consecutive naturals, for example, 73099 + ... + 73135.

It is an arithmetic number, because the mean of its divisors is an integer number (139992).

22705329 is an apocalyptic number.

It is an amenable number.

2705329 is a deficient number, since it is larger than the sum of its proper divisors (654479).

2705329 is a wasteful number, since it uses less digits than its factorization.

2705329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2705329 is about 1644.7884362434. The cubic root of 2705329 is about 139.3392160140.

The spelling of 2705329 in words is "two million, seven hundred five thousand, three hundred twenty-nine".

Divisors: 1 11 17 23 37 187 253 289 391 407 629 851 3179 4301 6647 6919 9361 10693 14467 73117 117623 159137 245939 2705329