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12314232 = 2332753461
BaseRepresentation
bin101110111110…
…011001111000
3212011121221200
4232332121320
511123023412
61115534200
7206445360
oct56763170
925147850
1012314232
116a50957
12415a360
132722038
1418c79a0
1511339dc
hexbbe678

12314232 has 96 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 3444480.

The previous prime is 12314231. The next prime is 12314243. The reversal of 12314232 is 23241321.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314231) 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, 26482 + ... + 26942.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 212314232 is an apocalyptic number.

12314232 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 12314232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

12314232 is an abundant number, since it is smaller than the sum of its proper divisors (26604648).

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

12314232 is a wasteful number, since it uses less digits than its factorization.

12314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

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

The square root of 12314232 is about 3509.1640030070. The cubic root of 12314232 is about 230.9240206633.

Adding to 12314232 its reverse (23241321), we get a palindrome (35555553).

The spelling of 12314232 in words is "twelve million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 461 477 504 636 742 922 954 1113 1272 1383 1484 1844 1908 2226 2766 2968 3227 3339 3688 3816 4149 4452 5532 6454 6678 8298 8904 9681 11064 12908 13356 16596 19362 24433 25816 26712 29043 33192 38724 48866 58086 73299 77448 97732 116172 146598 171031 195464 219897 232344 293196 342062 439794 513093 586392 684124 879588 1026186 1368248 1539279 1759176 2052372 3078558 4104744 6157116 12314232