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2112032304 = 24321031311087
BaseRepresentation
bin111110111100011…
…0000111000110000
312110012011100122200
41331320300320300
513311140013204
6545324103200
7103223656404
oct17570607060
95405140580
102112032304
11994207148
124ab394b00
13278741775
141606dd104
15c5642539
hex7de30e30

2112032304 has 120 divisors (see below), whose sum is σ = 6019233792. Its totient is φ = 691217280.

The previous prime is 2112032297. The next prime is 2112032323. The reversal of 2112032304 is 4032302112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942449 + ... + 1943535.

Almost surely, 22112032304 is an apocalyptic number.

2112032304 is a gapful number since it is divisible by the number (24) 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 2112032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009616896).

2112032304 is an abundant number, since it is smaller than the sum of its proper divisors (3907201488).

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

2112032304 is a wasteful number, since it uses less digits than its factorization.

2112032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1326 counting only the distinct ones).

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

The square root of 2112032304 is about 45956.8526337477. The cubic root of 2112032304 is about 1283.0202733911.

Adding to 2112032304 its reverse (4032302112), we get a palindrome (6144334416).

The spelling of 2112032304 in words is "two billion, one hundred twelve million, thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 131 144 206 262 309 393 412 524 618 786 824 927 1048 1087 1179 1236 1572 1648 1854 2096 2174 2358 2472 3144 3261 3708 4348 4716 4944 6288 6522 7416 8696 9432 9783 13044 13493 14832 17392 18864 19566 26088 26986 39132 40479 52176 53972 78264 80958 107944 111961 121437 142397 156528 161916 215888 223922 242874 284794 323832 335883 427191 447844 485748 569588 647664 671766 854382 895688 971496 1007649 1139176 1281573 1343532 1708764 1791376 1942992 2015298 2278352 2563146 2687064 3417528 4030596 5126292 5374128 6835056 8061192 10252584 14666891 16122384 20505168 29333782 44000673 58667564 88001346 117335128 132002019 176002692 234670256 264004038 352005384 528008076 704010768 1056016152 2112032304