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2032112304 = 2432472111423
BaseRepresentation
bin111100100011111…
…1001001010110000
312020121210000000200
41321013321022300
513130210043204
6533351115200
7101233445445
oct17107711260
95217700020
102032112304
11953090062
12488672b00
1326500b921
14153c579cc
15bd607539
hex791f92b0

2032112304 has 120 divisors (see below), whose sum is σ = 5839721472. Its totient is φ = 659352960.

The previous prime is 2032112287. The next prime is 2032112309. The reversal of 2032112304 is 4032112302.

2032112304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (2032112309) 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, 1427337 + ... + 1428759.

Almost surely, 22032112304 is an apocalyptic number.

2032112304 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 2032112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919860736).

2032112304 is an abundant number, since it is smaller than the sum of its proper divisors (3807609168).

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

2032112304 is a wasteful number, since it uses less digits than its factorization.

2032112304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1686 counting only the distinct ones).

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

The square root of 2032112304 is about 45078.9563321956. The cubic root of 2032112304 is about 1266.6284399667.

Adding to 2032112304 its reverse (4032112302), we get a palindrome (6064224606).

The spelling of 2032112304 in words is "two billion, thirty-two million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 211 282 376 422 423 564 633 752 844 846 1128 1266 1423 1688 1692 1899 2256 2532 2846 3376 3384 3798 4269 5064 5692 6768 7596 8538 9917 10128 11384 12807 15192 17076 19834 22768 25614 29751 30384 34152 39668 51228 59502 66881 68304 79336 89253 102456 119004 133762 158672 178506 200643 204912 238008 267524 300253 357012 401286 476016 535048 600506 601929 714024 802572 900759 1070096 1201012 1203858 1428048 1605144 1801518 2402024 2407716 2702277 3210288 3603036 4804048 4815432 5404554 7206072 9630864 10809108 14111891 14412144 21618216 28223782 42335673 43236432 56447564 84671346 112895128 127007019 169342692 225790256 254014038 338685384 508028076 677370768 1016056152 2032112304