Base | Representation |
---|---|
bin | 10011010101001… |
… | …010001110110000 |
3 | 211121020212012211 |
4 | 103111022032300 |
5 | 1131011022112 |
6 | 52103101504 |
7 | 11015423650 |
oct | 2325121660 |
9 | 747225184 |
10 | 324314032 |
11 | 157080a29 |
12 | 90741894 |
13 | 522619c3 |
14 | 31102360 |
15 | 1d7130a7 |
hex | 1354a3b0 |
324314032 has 80 divisors (see below), whose sum is σ = 773521920. Its totient is φ = 128553984.
The previous prime is 324314009. The next prime is 324314057. The reversal of 324314032 is 230413423.
It is a happy number.
It is a super-3 number, since 3×3243140323 (a number of 27 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 324313994 and 324314012.
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 15 ways as a sum of consecutive naturals, for example, 110893 + ... + 113779.
It is an arithmetic number, because the mean of its divisors is an integer number (9669024).
Almost surely, 2324314032 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 324314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386760960).
324314032 is an abundant number, since it is smaller than the sum of its proper divisors (449207888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
324314032 is a wasteful number, since it uses less digits than its factorization.
324314032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
The square root of 324314032 is about 18008.7209984496. The cubic root of 324314032 is about 687.0503732026.
Adding to 324314032 its reverse (230413423), we get a palindrome (554727455).
It can be divided in two parts, 32431 and 4032, that added together give a palindrome (36463).
The spelling of 324314032 in words is "three hundred twenty-four million, three hundred fourteen thousand, thirty-two".
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