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12314412 = 2232113257
BaseRepresentation
bin101110111110…
…011100101100
3212011122012100
4232332130230
511123030122
61115535100
7206446035
oct56763454
925148170
1012314412
116a51000
12415a490
132722146
1418c7a8c
151133aac
hexbbe72c

12314412 has 72 divisors (see below), whose sum is σ = 34371792. Its totient is φ = 3717120.

The previous prime is 12314381. The next prime is 12314417. The reversal of 12314412 is 21441321.

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

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12314417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47788 + ... + 48044.

It is an arithmetic number, because the mean of its divisors is an integer number (477386).

Almost surely, 212314412 is an apocalyptic number.

12314412 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 12314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185896).

12314412 is an abundant number, since it is smaller than the sum of its proper divisors (22057380).

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

12314412 is a wasteful number, since it uses less digits than its factorization.

12314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12314412 is about 3509.1896500474. The cubic root of 12314412 is about 230.9251458146.

Adding to 12314412 its reverse (21441321), we get a palindrome (33755733).

It can be divided in two parts, 123 and 14412, that added together give a triangular number (14535 = T170).

The spelling of 12314412 in words is "twelve million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 257 363 396 484 514 726 771 1028 1089 1331 1452 1542 2178 2313 2662 2827 3084 3993 4356 4626 5324 5654 7986 8481 9252 11308 11979 15972 16962 23958 25443 31097 33924 47916 50886 62194 93291 101772 124388 186582 279873 342067 373164 559746 684134 1026201 1119492 1368268 2052402 3078603 4104804 6157206 12314412