314345010 has 64 divisors (see below), whose sum is σ = 864444672. Its totient is φ = 71663616.

The previous prime is 314344981. The next prime is 314345047. The reversal of 314345010 is 10543413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 89202 + ... + 92658.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^314345010 is an apocalyptic number.

314345010 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 314345010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

314345010 is an abundant number, since it is smaller than the sum of its proper divisors (550099662).

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

314345010 is a wasteful number, since it uses less digits than its factorization.

314345010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 314345010 is about 17729.7774943737. Note that the first 3 decimals coincide. The cubic root of 314345010 is about 679.9372851619.

Adding to 314345010 its reverse (10543413), we get a palindrome (324888423).

The spelling of 314345010 in words is "three hundred fourteen million, three hundred forty-five thousand, ten".