Search a number
-
+
12303288 = 23321071597
BaseRepresentation
bin101110111011…
…101110111000
3212011001221100
4232323232320
511122201123
61115411400
7206401434
oct56735670
925131840
1012303288
116a43708
124153b60
13271a06a
1418c39c4
151130643
hexbbbbb8

12303288 has 48 divisors (see below), whose sum is σ = 33653880. Its totient is φ = 4060224.

The previous prime is 12303287. The next prime is 12303293. The reversal of 12303288 is 88230321.

It is a super-2 number, since 2×123032882 = 302741791221888, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303281) 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, 6906 + ... + 8502.

Almost surely, 212303288 is an apocalyptic number.

12303288 is a gapful number since it is divisible by the number (18) 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 12303288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826940).

12303288 is an abundant number, since it is smaller than the sum of its proper divisors (21350592).

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

12303288 is a wasteful number, since it uses less digits than its factorization.

12303288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12303288 is about 3507.6043106371. The cubic root of 12303288 is about 230.8555908572.

The spelling of 12303288 in words is "twelve million, three hundred three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1597 1926 2568 3194 3852 4791 6388 7704 9582 12776 14373 19164 28746 38328 57492 114984 170879 341758 512637 683516 1025274 1367032 1537911 2050548 3075822 4101096 6151644 12303288