313740000 has 480 divisors, whose sum is σ = 1322576640. Its totient is φ = 70848000.

The previous prime is 313739977. The next prime is 313740023. The reversal of 313740000 is 47313.

It is an interprime number because it is at equal distance from previous prime (313739977) and next prime (313740023).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779959 + ... + 3780041.

It is an arithmetic number, because the mean of its divisors is an integer number (2755368).

Almost surely, 2^313740000 is an apocalyptic number.

313740000 is a gapful number since it is divisible by the number (30) 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 313740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661288320).

313740000 is an abundant number, since it is smaller than the sum of its proper divisors (1008836640).

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

313740000 is an equidigital number, since it uses as much as digits as its factorization.

313740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 313740000 is about 17712.7073029506. The cubic root of 313740000 is about 679.5007870016.

Adding to 313740000 its reverse (47313), we get a palindrome (313787313).

The spelling of 313740000 in words is "three hundred thirteen million, seven hundred forty thousand".