347312 has 30 divisors (see below), whose sum is σ = 784548. Its totient is φ = 148512.

The previous prime is 347299. The next prime is 347317. The reversal of 347312 is 213743.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3⁹ + 4³ + 3¹¹ + 7⁶ + 1 + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347312.

It is not an unprimeable number, because it can be changed into a prime (347317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563 + ... + 1005.

2³⁴⁷³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392274).

347312 is an abundant number, since it is smaller than the sum of its proper divisors (437236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

347312 is a wasteful number, since it uses less digits than its factorization.

347312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 347312 is about 589.3318250358. The cubic root of 347312 is about 70.2921126406.

The spelling of 347312 in words is "three hundred forty-seven thousand, three hundred twelve", and thus it is an iban number.