313144416 has 72 divisors (see below), whose sum is σ = 959016240. Its totient is φ = 96350976.

The previous prime is 313144373. The next prime is 313144417. The reversal of 313144416 is 614441313.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 313144416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313144417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38076 + ... + 45563.

It is an arithmetic number, because the mean of its divisors is an integer number (13319670).

Almost surely, 2^313144416 is an apocalyptic number.

313144416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313144416 is an abundant number, since it is smaller than the sum of its proper divisors (645871824).

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

313144416 is a wasteful number, since it uses less digits than its factorization.

313144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83668 (or 83657 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 313144416 is about 17695.8869797476. The cubic root of 313144416 is about 679.0705409884.

Adding to 313144416 its reverse (614441313), we get a palindrome (927585729).

The spelling of 313144416 in words is "three hundred thirteen million, one hundred forty-four thousand, four hundred sixteen".