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12284336 = 2417192377
BaseRepresentation
bin101110110111…
…000110110000
3212010002221102
4232313012300
511121044321
61115143532
7206262251
oct56670660
925102842
1012284336
116a30449
124144ba8
13271154c
1418bab28
151129c0b
hexbb71b0

12284336 has 40 divisors (see below), whose sum is σ = 26538480. Its totient is φ = 5474304.

The previous prime is 12284309. The next prime is 12284341. The reversal of 12284336 is 63348221.

It is a junction number, because it is equal to n+sod(n) for n = 12284299 and 12284308.

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 7 ways as a sum of consecutive naturals, for example, 3980 + ... + 6356.

It is an arithmetic number, because the mean of its divisors is an integer number (663462).

Almost surely, 212284336 is an apocalyptic number.

12284336 is a gapful number since it is divisible by the number (16) 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 12284336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269240).

12284336 is an abundant number, since it is smaller than the sum of its proper divisors (14254144).

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

12284336 is a wasteful number, since it uses less digits than its factorization.

12284336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2415 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 12284336 is about 3504.9017104621. The cubic root of 12284336 is about 230.7369931948.

The spelling of 12284336 in words is "twelve million, two hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2377 2584 4754 5168 9508 19016 38032 40409 45163 80818 90326 161636 180652 323272 361304 646544 722608 767771 1535542 3071084 6142168 12284336