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12303984 = 2437113329
BaseRepresentation
bin101110111011…
…111001110000
3212011002220010
4232323321300
511122211414
61115414520
7206403450
oct56737160
925132803
1012303984
116a44190
124154440
13271a484
1418c3d60
151130959
hexbbbe70

12303984 has 80 divisors (see below), whose sum is σ = 39640320. Its totient is φ = 3194880.

The previous prime is 12303979. The next prime is 12303997. The reversal of 12303984 is 48930321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (495504).

Almost surely, 212303984 is an apocalyptic number.

12303984 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 12303984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

12303984 is an abundant number, since it is smaller than the sum of its proper divisors (27336336).

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

12303984 is a wasteful number, since it uses less digits than its factorization.

12303984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 12303984 is about 3507.7035222493. The cubic root of 12303984 is about 230.8599439608.

The spelling of 12303984 in words is "twelve million, three hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3329 3696 6658 9987 13316 19974 23303 26632 36619 39948 46606 53264 69909 73238 79896 93212 109857 139818 146476 159792 186424 219714 256333 279636 292952 372848 439428 512666 559272 585904 768999 878856 1025332 1118544 1537998 1757712 2050664 3075996 4101328 6151992 12303984