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12303424 = 26729947
BaseRepresentation
bin101110111011…
…110001000000
3212011002010101
4232323301000
511122202144
61115412144
7206402020
oct56736100
925132111
1012303424
116a43821
124154054
13271a143
1418c3a80
1511306d4
hexbbbc40

12303424 has 56 divisors (see below), whose sum is σ = 28895040. Its totient is φ = 5085696.

The previous prime is 12303419. The next prime is 12303437. The reversal of 12303424 is 42430321.

12303424 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 (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12519 + ... + 13465.

Almost surely, 212303424 is an apocalyptic number.

12303424 is a gapful number since it is divisible by the number (14) 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 12303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447520).

12303424 is an abundant number, since it is smaller than the sum of its proper divisors (16591616).

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

12303424 is an equidigital number, since it uses as much as digits as its factorization.

12303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 12303424 is about 3507.6236970348. The cubic root of 12303424 is about 230.8564414765.

Adding to 12303424 its reverse (42430321), we get a palindrome (54733745).

The spelling of 12303424 in words is "twelve million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 947 1624 1856 1894 3248 3788 6496 6629 7576 12992 13258 15152 26516 27463 30304 53032 54926 60608 106064 109852 192241 212128 219704 384482 424256 439408 768964 878816 1537928 1757632 3075856 6151712 12303424