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12338046 = 2327181541
BaseRepresentation
bin101111000100…
…001101111110
3212012211121200
4233010031332
511124304141
61120240330
7206604660
oct57041576
925184550
1012338046
116a67836
1241700a6
13272cb26
1418d2530
15113aab6
hexbc437e

12338046 has 48 divisors (see below), whose sum is σ = 30776928. Its totient is φ = 3499200.

The previous prime is 12338041. The next prime is 12338047. The reversal of 12338046 is 64083321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338041) 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, 22536 + ... + 23076.

It is an arithmetic number, because the mean of its divisors is an integer number (641186).

It is a vampire number, since it can be written as 32463801 (with its own digits).

Almost surely, 212338046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12338046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388464).

12338046 is an abundant number, since it is smaller than the sum of its proper divisors (18438882).

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

12338046 is a wasteful number, since it uses less digits than its factorization.

12338046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12338046 is about 3512.5554799889. Note that the first 3 decimals coincide. The cubic root of 12338046 is about 231.0727830471.

The spelling of 12338046 in words is "twelve million, three hundred thirty-eight thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 541 543 1082 1086 1267 1623 1629 2534 3246 3258 3787 3801 4869 7574 7602 9738 11361 11403 22722 22806 34083 68166 97921 195842 293763 587526 685447 881289 1370894 1762578 2056341 4112682 6169023 12338046