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14313312 = 2532133823
BaseRepresentation
bin110110100110…
…011101100000
3222221012011200
4312212131200
512131011222
61230441200
7232442526
oct66463540
928835150
1014313312
118096892
124963200
132c71c20
141c88316
1513caeac
hexda6760

14313312 has 72 divisors (see below), whose sum is σ = 43845984. Its totient is φ = 4402944.

The previous prime is 14313311. The next prime is 14313331. The reversal of 14313312 is 21331341.

14313312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (14313311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1833 + ... + 5655.

It is an arithmetic number, because the mean of its divisors is an integer number (608972).

It is a self-describing number.

Almost surely, 214313312 is an apocalyptic number.

14313312 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 14313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21922992).

14313312 is an abundant number, since it is smaller than the sum of its proper divisors (29532672).

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

14313312 is a wasteful number, since it uses less digits than its factorization.

14313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3841 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 14313312 is about 3783.2938030240. The cubic root of 14313312 is about 242.7988988023.

Adding to 14313312 its reverse (21331341), we get a palindrome (35644653).

The spelling of 14313312 in words is "fourteen million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3823 7646 11469 15292 22938 30584 34407 45876 49699 61168 68814 91752 99398 122336 137628 149097 183504 198796 275256 298194 367008 397592 447291 550512 596388 795184 894582 1101024 1192776 1590368 1789164 2385552 3578328 4771104 7156656 14313312