313653340 has 96 divisors (see below), whose sum is σ = 884427264. Its totient is φ = 90236160.

The previous prime is 313653317. The next prime is 313653359. The reversal of 313653340 is 43356313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 313653299 and 313653308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12187 + ... + 27853.

It is an arithmetic number, because the mean of its divisors is an integer number (9212784).

Almost surely, 2^313653340 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 313653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442213632).

313653340 is an abundant number, since it is smaller than the sum of its proper divisors (570773924).

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

313653340 is a wasteful number, since it uses less digits than its factorization.

313653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15707 (or 15705 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The square root of 313653340 is about 17710.2608676439. The cubic root of 313653340 is about 679.4382182496.

The spelling of 313653340 in words is "three hundred thirteen million, six hundred fifty-three thousand, three hundred forty".