• Sorting the digits of 2^{349} in ascending order we obtain a prime of 93 digits.

349 has 2 divisors, whose sum is σ = 350. Its totient is φ = 348.

The previous prime is 347. The next prime is 353. The reversal of 349 is 943.

349 is nontrivially palindromic in base 8.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324 + 25 = 18^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 349 - 2^{1} = 347 is a prime.

Together with 347, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

349 is an undulating number in base 8.

349 is a lucky number.

It is a plaindrome in base 5, base 10, base 14 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174 + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (175).

It is an amenable number.

349 is a deficient number, since it is larger than the sum of its proper divisors (1).

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

349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108, while the sum is 16.

The square root of 349 is about 18.6815416923. The cubic root of 349 is about 7.0405806167.

Subtracting from 349 its sum of digits (16), we obtain a palindrome (333).

The spelling of 349 in words is "three hundred forty-nine", and thus it is an aban number.

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