10314432 has 112 divisors (see below), whose sum is σ = 31211520. Its totient is φ = 3338496.

The previous prime is 10314431. The next prime is 10314443. The reversal of 10314432 is 23441301.

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

It is not an unprimeable number, because it can be changed into a prime (10314431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81153 + ... + 81279.

Almost surely, 2^10314432 is an apocalyptic number.

10314432 is a gapful number since it is divisible by the number (12) 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 10314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605760).

10314432 is an abundant number, since it is smaller than the sum of its proper divisors (20897088).

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

10314432 is a wasteful number, since it uses less digits than its factorization.

10314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

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

The square root of 10314432 is about 3211.6089425707. The cubic root of 10314432 is about 217.6782842608.

Adding to 10314432 its reverse (23441301), we get a palindrome (33755733).

It can be divided in two parts, 103 and 14432, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 10314432 in words is "ten million, three hundred fourteen thousand, four hundred thirty-two".