313348950 has 144 divisors (see below), whose sum is σ = 901043520. Its totient is φ = 77837760.

The previous prime is 313348943. The next prime is 313348957. The reversal of 313348950 is 59843313.

It is an interprime number because it is at equal distance from previous prime (313348943) and next prime (313348957).

It is a super-2 number, since 2×313348950² = 196375128932205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313348957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572577 + ... + 573123.

Almost surely, 2^313348950 is an apocalyptic number.

313348950 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 313348950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450521760).

313348950 is an abundant number, since it is smaller than the sum of its proper divisors (587694570).

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

313348950 is a wasteful number, since it uses less digits than its factorization.

313348950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 313348950 is about 17701.6651759093. The cubic root of 313348950 is about 679.2183564776.

The spelling of 313348950 in words is "three hundred thirteen million, three hundred forty-eight thousand, nine hundred fifty".