313334730 has 80 divisors (see below), whose sum is σ = 845238240. Its totient is φ = 83287008.

The previous prime is 313334729. The next prime is 313334741. The reversal of 313334730 is 37433313.

313334730 is a `hidden beast` number, since 313 + 3 + 347 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313334694 and 313334703.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 475141 + ... + 475799.

It is an arithmetic number, because the mean of its divisors is an integer number (10565478).

Almost surely, 2^313334730 is an apocalyptic number.

313334730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313334730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422619120).

313334730 is an abundant number, since it is smaller than the sum of its proper divisors (531903510).

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

313334730 is a wasteful number, since it uses less digits than its factorization.

313334730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 313334730 is about 17701.2635142241. The cubic root of 313334730 is about 679.2080818502.

It can be divided in two parts, 31333 and 4730, that added together give a palindrome (36063).

The spelling of 313334730 in words is "three hundred thirteen million, three hundred thirty-four thousand, seven hundred thirty".