314323632 has 240 divisors, whose sum is σ = 1085644800. Its totient is φ = 86728320.

The previous prime is 314323579. The next prime is 314323637. The reversal of 314323632 is 236323413.

It is a happy number.

314323632 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 23 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 314323596 and 314323605.

It is not an unprimeable number, because it can be changed into a prime (314323637) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 655969 + ... + 656447.

It is an arithmetic number, because the mean of its divisors is an integer number (4523520).

Almost surely, 2^314323632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314323632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542822400).

314323632 is an abundant number, since it is smaller than the sum of its proper divisors (771321168).

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

314323632 is a wasteful number, since it uses less digits than its factorization.

314323632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 314323632 is about 17729.1746000766. The cubic root of 314323632 is about 679.9218710698.

The spelling of 314323632 in words is "three hundred fourteen million, three hundred twenty-three thousand, six hundred thirty-two".