313242336 has 192 divisors, whose sum is σ = 1040739840. Its totient is φ = 90731520.

The previous prime is 313242329. The next prime is 313242389. The reversal of 313242336 is 633242313.

It is a happy number.

313242336 is a `hidden beast` number, since 3 + 1 + 324 + 2 + 336 = 666.

It is a super-2 number, since 2×313242336² = 196241522125473792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 217876 + ... + 219308.

It is an arithmetic number, because the mean of its divisors is an integer number (5420520).

Almost surely, 2^313242336 is an apocalyptic number.

313242336 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 313242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520369920).

313242336 is an abundant number, since it is smaller than the sum of its proper divisors (727497504).

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

313242336 is a wasteful number, since it uses less digits than its factorization.

313242336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 313242336 is about 17698.6535081062. The cubic root of 313242336 is about 679.1413152108.

Adding to 313242336 its reverse (633242313), we get a palindrome (946484649).

The spelling of 313242336 in words is "three hundred thirteen million, two hundred forty-two thousand, three hundred thirty-six".