313238016 has 400 divisors, whose sum is σ = 1164550464. Its totient is φ = 81616896.

The previous prime is 313238011. The next prime is 313238027. The reversal of 313238016 is 610832313.

It is a happy number.

It is a super-3 number, since 3×313238016³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313238011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3773911 + ... + 3773993.

Almost surely, 2^313238016 is an apocalyptic number.

313238016 is a gapful number since it is divisible by the number (36) 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 313238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582275232).

313238016 is an abundant number, since it is smaller than the sum of its proper divisors (851312448).

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

313238016 is an equidigital number, since it uses as much as digits as its factorization.

313238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 313238016 is about 17698.5314645029. The cubic root of 313238016 is about 679.1381931297.

The spelling of 313238016 in words is "three hundred thirteen million, two hundred thirty-eight thousand, sixteen".