349312 has 16 divisors (see below), whose sum is σ = 696150. Its totient is φ = 174592.

The previous prime is 349303. The next prime is 349313. The reversal of 349312 is 213943.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 141376 = 456^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3⁵ + 4⁹ + 3⁹ + 9⁵ + 1 + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (349313) by changing a digit.

349312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1237 + ... + 1492.

2³⁴⁹³¹² is an apocalyptic number.

349312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349312 is a deficient number, since it is larger than the sum of its proper divisors (346838).

349312 is an equidigital number, since it uses as much as digits as its factorization.

349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2731 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 349312 is about 591.0262261524. The cubic root of 349312 is about 70.4267804449.

The spelling of 349312 in words is "three hundred forty-nine thousand, three hundred twelve".