7345314 has 48 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 2315520.

The previous prime is 7345313. The next prime is 7345319. The reversal of 7345314 is 4135437.

7345314 is a `hidden beast` number, since 7 + 345 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4223025 + 3122289 = 2055^2 + 1767^2 .

It is not an unprimeable number, because it can be changed into a prime (7345313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27172 + ... + 27440.

Almost surely, 2^7345314 is an apocalyptic number.

7345314 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7345314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

7345314 is an abundant number, since it is smaller than the sum of its proper divisors (9460566).

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

7345314 is a wasteful number, since it uses less digits than its factorization.

7345314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 7345314 is about 2710.2239759843. The cubic root of 7345314 is about 194.3883001138.

The spelling of 7345314 in words is "seven million, three hundred forty-five thousand, three hundred fourteen".