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12302312 = 2311271179
BaseRepresentation
bin101110111011…
…011111101000
3212011000121012
4232323133220
511122133222
61115403052
7206365541
oct56733750
925130535
1012302312
116a42a00
124153488
132719799
1418c34c8
1511301e2
hexbbb7e8

12302312 has 48 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 5482400.

The previous prime is 12302299. The next prime is 12302317. The reversal of 12302312 is 21320321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12302317) 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, 68639 + ... + 68817.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 212302312 is an apocalyptic number.

12302312 is the 2864-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

12302312 is an abundant number, since it is smaller than the sum of its proper divisors (13552888).

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

12302312 is a wasteful number, since it uses less digits than its factorization.

12302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12302312 is about 3507.4651815806. The cubic root of 12302312 is about 230.8494862285.

Adding to 12302312 its reverse (21320321), we get a palindrome (33622633).

Subtracting 12302312 from its reverse (21320321), we obtain a square (9018009 = 30032).

The spelling of 12302312 in words is "twelve million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 179 242 284 358 484 568 716 781 968 1432 1562 1969 3124 3938 6248 7876 8591 12709 15752 17182 21659 25418 34364 43318 50836 68728 86636 101672 139799 173272 279598 559196 1118392 1537789 3075578 6151156 12302312