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12303144 = 2333779103
BaseRepresentation
bin101110111011…
…101100101000
3212011001202000
4232323230220
511122200034
61115411000
7206401140
oct56735450
925131660
1012303144
116a43597
124153a60
132719c89
1418c3920
151130599
hexbbbb28

12303144 has 128 divisors (see below), whose sum is σ = 39936000. Its totient is φ = 3436992.

The previous prime is 12303139. The next prime is 12303149. The reversal of 12303144 is 44130321.

It is an interprime number because it is at equal distance from previous prime (12303139) and next prime (12303149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12303149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119397 + ... + 119499.

It is an arithmetic number, because the mean of its divisors is an integer number (312000).

Almost surely, 212303144 is an apocalyptic number.

12303144 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 12303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968000).

12303144 is an abundant number, since it is smaller than the sum of its proper divisors (27632856).

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

12303144 is a wasteful number, since it uses less digits than its factorization.

12303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12303144 is about 3507.5837837463. The cubic root of 12303144 is about 230.8546901946.

Adding to 12303144 its reverse (44130321), we get a palindrome (56433465).

The spelling of 12303144 in words is "twelve million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 103 108 126 158 168 189 206 216 237 252 309 316 378 412 474 504 553 618 632 711 721 756 824 927 948 1106 1236 1422 1442 1512 1659 1854 1896 2133 2163 2212 2472 2781 2844 2884 3318 3708 4266 4326 4424 4977 5562 5688 5768 6489 6636 7416 8137 8532 8652 9954 11124 12978 13272 14931 16274 17064 17304 19467 19908 22248 24411 25956 29862 32548 38934 39816 48822 51912 56959 59724 65096 73233 77868 97644 113918 119448 146466 155736 170877 195288 219699 227836 292932 341754 439398 455672 512631 585864 683508 878796 1025262 1367016 1537893 1757592 2050524 3075786 4101048 6151572 12303144