314242110 has 384 divisors, whose sum is σ = 1111428864. Its totient is φ = 59719680.

The previous prime is 314242109. The next prime is 314242111. The reversal of 314242110 is 11242413.

314242110 is a `hidden beast` number, since 31 + 424 + 211 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (314242109) and next prime (314242111).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314242111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5151480 + ... + 5151540.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^314242110 is an apocalyptic number.

314242110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314242110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555714432).

314242110 is an abundant number, since it is smaller than the sum of its proper divisors (797186754).

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

314242110 is a wasteful number, since it uses less digits than its factorization.

314242110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314242110 is about 17726.8753591827. The cubic root of 314242110 is about 679.8630851798.

Adding to 314242110 its reverse (11242413), we get a palindrome (325484523).

The spelling of 314242110 in words is "three hundred fourteen million, two hundred forty-two thousand, one hundred ten".