10314416 has 80 divisors (see below), whose sum is σ = 24879360. Its totient is φ = 4043520.

The previous prime is 10314407. The next prime is 10314431. The reversal of 10314416 is 61441301.

10314416 is nontrivially palindromic in base 3.

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, 78671 + ... + 78801.

It is an arithmetic number, because the mean of its divisors is an integer number (310992).

Almost surely, 2^10314416 is an apocalyptic number.

10314416 is a gapful number since it is divisible by the number (16) 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 10314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439680).

10314416 is an abundant number, since it is smaller than the sum of its proper divisors (14564944).

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

10314416 is a wasteful number, since it uses less digits than its factorization.

10314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10314416 is about 3211.6064516064. The cubic root of 10314416 is about 217.6781717048.

Adding to 10314416 its reverse (61441301), we get a palindrome (71755717).

The spelling of 10314416 in words is "ten million, three hundred fourteen thousand, four hundred sixteen".