313770240 has 288 divisors, whose sum is σ = 1273493760. Its totient is φ = 71663616.

The previous prime is 313770217. The next prime is 313770263. The reversal of 313770240 is 42077313.

313770240 = T₁₀₁ + T₁₀₂ + ... + T₁₂₃₄.

313770240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313770217) and next prime (313770263).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 241272 + ... + 242568.

Almost surely, 2^313770240 is an apocalyptic number.

313770240 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 313770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636746880).

313770240 is an abundant number, since it is smaller than the sum of its proper divisors (959723520).

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

313770240 is a wasteful number, since it uses less digits than its factorization.

313770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 313770240 is about 17713.5609068307. The cubic root of 313770240 is about 679.5226176508.

The spelling of 313770240 in words is "three hundred thirteen million, seven hundred seventy thousand, two hundred forty".