313342380 has 144 divisors (see below), whose sum is σ = 1029188160. Its totient is φ = 76709376.

The previous prime is 313342343. The next prime is 313342387. The reversal of 313342380 is 83243313.

313342380 is a `hidden beast` number, since 313 + 342 + 3 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313342387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839874 + ... + 840246.

It is an arithmetic number, because the mean of its divisors is an integer number (7147140).

Almost surely, 2^313342380 is an apocalyptic number.

313342380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313342380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514594080).

313342380 is an abundant number, since it is smaller than the sum of its proper divisors (715845780).

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

313342380 is a wasteful number, since it uses less digits than its factorization.

313342380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 313342380 is about 17701.4795991748. The cubic root of 313342380 is about 679.2136093782.

Adding to 313342380 its reverse (83243313), we get a palindrome (396585693).

The spelling of 313342380 in words is "three hundred thirteen million, three hundred forty-two thousand, three hundred eighty".