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12348084 = 22372937137
BaseRepresentation
bin101111000110…
…101010110100
3212020100101110
4233012222310
511130114314
61120355020
7206646150
oct57065264
925210343
1012348084
116a74331
124175a70
132734578
1418d6060
15113da59
hexbc6ab4

12348084 has 96 divisors (see below), whose sum is σ = 35239680. Its totient is φ = 3290112.

The previous prime is 12348073. The next prime is 12348097. The reversal of 12348084 is 48084321.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90064 + ... + 90200.

It is an arithmetic number, because the mean of its divisors is an integer number (367080).

Almost surely, 212348084 is an apocalyptic number.

12348084 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 12348084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619840).

12348084 is an abundant number, since it is smaller than the sum of its proper divisors (22891596).

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

12348084 is a wasteful number, since it uses less digits than its factorization.

12348084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 12348084 is about 3513.9840637089. The cubic root of 12348084 is about 231.1354315369.

The spelling of 12348084 in words is "twelve million, three hundred forty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 58 74 84 87 111 116 137 148 174 203 222 259 274 348 406 411 444 518 548 609 777 812 822 959 1036 1073 1218 1554 1644 1918 2146 2436 2877 3108 3219 3836 3973 4292 5069 5754 6438 7511 7946 10138 11508 11919 12876 15022 15207 15892 20276 22533 23838 27811 30044 30414 35483 45066 47676 55622 60828 70966 83433 90132 106449 111244 141932 147001 166866 212898 294002 333732 425796 441003 588004 882006 1029007 1764012 2058014 3087021 4116028 6174042 12348084