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12342726 = 2331121889
BaseRepresentation
bin101111000101…
…010111000110
3212020002001000
4233011113012
511124431401
61120314130
7206624424
oct57052706
925202030
1012342726
116a70300
124172946
132731cb6
1418d4114
15113c186
hexbc55c6

12342726 has 48 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 3738240.

The previous prime is 12342721. The next prime is 12342727. The reversal of 12342726 is 62724321.

It is a super-2 number, since 2×123427262 = 304685770222152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12342726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5590 + ... + 7478.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 212342726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

12342726 is an abundant number, since it is smaller than the sum of its proper divisors (17821674).

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

12342726 is a wasteful number, since it uses less digits than its factorization.

12342726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1905 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12342726 is about 3513.2215984762. The cubic root of 12342726 is about 231.1019957745.

It can be divided in two parts, 123 and 42726, that added together give a square (42849 = 2072).

The spelling of 12342726 in words is "twelve million, three hundred forty-two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1889 2178 3267 3778 5667 6534 11334 17001 20779 34002 41558 51003 62337 102006 124674 187011 228569 374022 457138 561033 685707 1122066 1371414 2057121 4114242 6171363 12342726