314340120 has 96 divisors (see below), whose sum is σ = 1025032320. Its totient is φ = 83543040.

The previous prime is 314340107. The next prime is 314340127. The reversal of 314340120 is 21043413.

314340120 is a `hidden beast` number, since 314 + 340 + 12 + 0 = 666.

It is a super-2 number, since 2×314340120² = 197619422083228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 314340093 and 314340102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314340127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120025 + ... + 122615.

It is an arithmetic number, because the mean of its divisors is an integer number (10677420).

Almost surely, 2^314340120 is an apocalyptic number.

314340120 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 314340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512516160).

314340120 is an abundant number, since it is smaller than the sum of its proper divisors (710692200).

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

314340120 is a wasteful number, since it uses less digits than its factorization.

314340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314340120 is about 17729.6395902455. The cubic root of 314340120 is about 679.9337594068.

Adding to 314340120 its reverse (21043413), we get a palindrome (335383533).

The spelling of 314340120 in words is "three hundred fourteen million, three hundred forty thousand, one hundred twenty".