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349760799 = 3238862311
BaseRepresentation
bin10100110110001…
…110110100011111
3220101010200121200
4110312032310133
51204014321144
654412330543
711444626533
oct2466166437
9811120550
10349760799
1116a481513
1299173a53
135760136b
1434647bc3
1520a8cc69
hex14d8ed1f

349760799 has 6 divisors (see below), whose sum is σ = 505210056. Its totient is φ = 233173860.

The previous prime is 349760777. The next prime is 349760819. The reversal of 349760799 is 997067943.

349760799 is a `hidden beast` number, since 3 + 497 + 60 + 7 + 99 = 666.

It is not a de Polignac number, because 349760799 - 217 = 349629727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349760899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19431147 + ... + 19431164.

It is an arithmetic number, because the mean of its divisors is an integer number (84201676).

Almost surely, 2349760799 is an apocalyptic number.

349760799 is a deficient number, since it is larger than the sum of its proper divisors (155449257).

349760799 is a wasteful number, since it uses less digits than its factorization.

349760799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38862317 (or 38862314 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 349760799 is about 18701.8929255838. The cubic root of 349760799 is about 704.5692917708.

The spelling of 349760799 in words is "three hundred forty-nine million, seven hundred sixty thousand, seven hundred ninety-nine".

Divisors: 1 3 9 38862311 116586933 349760799