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344102564 = 22136617357
BaseRepresentation
bin10100100000101…
…001011010100100
3212222111012222102
4110200221122210
51201042240224
654051151232
711345552321
oct2440513244
9788435872
10344102564
11167267393
12972a5518
135639cab0
14339b3b48
15203214ae
hex148296a4

344102564 has 12 divisors (see below), whose sum is σ = 648501084. Its totient is φ = 158816544.

The previous prime is 344102533. The next prime is 344102579. The reversal of 344102564 is 465201443.

It can be written as a sum of positive squares in 2 ways, for example, as 51008164 + 293094400 = 7142^2 + 17120^2 .

344102564 is a modest number, since divided by 102564 gives 344 as remainder.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3308627 + ... + 3308730.

It is an arithmetic number, because the mean of its divisors is an integer number (54041757).

Almost surely, 2344102564 is an apocalyptic number.

It is an amenable number.

344102564 is a deficient number, since it is larger than the sum of its proper divisors (304398520).

344102564 is a wasteful number, since it uses less digits than its factorization.

344102564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617374 (or 6617372 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 344102564 is about 18550.0017250673. The cubic root of 344102564 is about 700.7492413048.

It can be divided in two parts, 3441025 and 64, that multiplied together give a square (220225600 = 148402).

The spelling of 344102564 in words is "three hundred forty-four million, one hundred two thousand, five hundred sixty-four".

Divisors: 1 2 4 13 26 52 6617357 13234714 26469428 86025641 172051282 344102564