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12823338 = 23112171039
BaseRepresentation
bin110000111010…
…101100101010
3220010111022110
4300322230222
511240321323
61134503150
7213665553
oct60725452
926114273
1012823338
117269400
124364ab6
13286c998
1419bb32a
1511d4793
hexc3ab2a

12823338 has 48 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3653760.

The previous prime is 12823333. The next prime is 12823357. The reversal of 12823338 is 83332821.

12823338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12823333) 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, 11823 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 212823338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12823338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

12823338 is an abundant number, since it is smaller than the sum of its proper divisors (17053782).

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

12823338 is a wasteful number, since it uses less digits than its factorization.

12823338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12823338 is about 3580.9688633106. The cubic root of 12823338 is about 234.0635009194.

It can be divided in two parts, 128233 and 38, that added together give a triangular number (128271 = T506).

The spelling of 12823338 in words is "twelve million, eight hundred twenty-three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1039 1122 2057 2078 3117 4114 6171 6234 11429 12342 17663 22858 34287 35326 52989 68574 105978 125719 194293 251438 377157 388586 582879 754314 1165758 2137223 4274446 6411669 12823338