313243840 has 224 divisors, whose sum is σ = 950390784. Its totient is φ = 95662080.

The previous prime is 313243829. The next prime is 313243841. The reversal of 313243840 is 48342313.

313243840 = T₃₀₇₂ + T₃₀₇₃ + ... + T₃₁₃₆.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 313243799 and 313243808.

It is not an unprimeable number, because it can be changed into a prime (313243841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 902547 + ... + 902893.

It is an arithmetic number, because the mean of its divisors is an integer number (4242816).

Almost surely, 2^313243840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475195392).

313243840 is an abundant number, since it is smaller than the sum of its proper divisors (637146944).

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

313243840 is a wasteful number, since it uses less digits than its factorization.

313243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 313243840 is about 17698.6959971632. The cubic root of 313243840 is about 679.1424021508.

The spelling of 313243840 in words is "three hundred thirteen million, two hundred forty-three thousand, eight hundred forty".