314100240 has 80 divisors (see below), whose sum is σ = 975794688. Its totient is φ = 83580928.

The previous prime is 314100233. The next prime is 314100257. The reversal of 314100240 is 42001413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141217 + ... + 143423.

Almost surely, 2^314100240 is an apocalyptic number.

314100240 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 314100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487897344).

314100240 is an abundant number, since it is smaller than the sum of its proper divisors (661694448).

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

314100240 is a wasteful number, since it uses less digits than its factorization.

314100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314100240 is about 17722.8733562027. The cubic root of 314100240 is about 679.7607578219.

Adding to 314100240 its reverse (42001413), we get a palindrome (356101653).

The spelling of 314100240 in words is "three hundred fourteen million, one hundred thousand, two hundred forty".