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12314016 = 25321113223
BaseRepresentation
bin101110111110…
…010110100000
3212011121122200
4232332112200
511123022031
61115533200
7206444631
oct56762640
925147580
1012314016
116a50780
12415a200
132721c00
1418c7888
1511338e6
hexbbe5a0

12314016 has 216 divisors, whose sum is σ = 43164576. Its totient is φ = 3294720.

The previous prime is 12314011. The next prime is 12314023. The reversal of 12314016 is 61041321.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12314016.

It is not an unprimeable number, because it can be changed into a prime (12314011) 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 35 ways as a sum of consecutive naturals, for example, 535381 + ... + 535403.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 212314016 is an apocalyptic number.

12314016 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 12314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288).

12314016 is an abundant number, since it is smaller than the sum of its proper divisors (30850560).

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

12314016 is a wasteful number, since it uses less digits than its factorization.

12314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12314016 is about 3509.1332263110. The cubic root of 12314016 is about 230.9226704673.

Adding to 12314016 its reverse (61041321), we get a palindrome (73355337).

It can be divided in two parts, 12 and 314016, that added together give a triangular number (314028 = T792).

The spelling of 12314016 in words is "twelve million, three hundred fourteen thousand, sixteen".