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2306193072 = 24317231031193
BaseRepresentation
bin1000100101110101…
…1011011010110000
312221201111202011020
42021131123122300
514210341134242
61020501415440
7111102213651
oct21135333260
95851452136
102306193072
11a83870a97
1254440a580
132a9a32cb1
1417c401528
15d76e66ec
hex8975b6b0

2306193072 has 160 divisors (see below), whose sum is σ = 6651859968. Its totient is φ = 684761088.

The previous prime is 2306193067. The next prime is 2306193083. The reversal of 2306193072 is 2703916032.

It is a happy number.

2306193072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932508 + ... + 1933700.

Almost surely, 22306193072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306193072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325929984).

2306193072 is an abundant number, since it is smaller than the sum of its proper divisors (4345666896).

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

2306193072 is a wasteful number, since it uses less digits than its factorization.

2306193072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 2306193072 is about 48022.8390664275. The cubic root of 2306193072 is about 1321.1898270946.

The spelling of 2306193072 in words is "two billion, three hundred six million, one hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 103 136 138 184 204 206 272 276 309 368 391 408 412 552 618 782 816 824 1104 1173 1193 1236 1564 1648 1751 2346 2369 2386 2472 3128 3502 3579 4692 4738 4772 4944 5253 6256 7004 7107 7158 9384 9476 9544 10506 14008 14214 14316 18768 18952 19088 20281 21012 27439 28016 28428 28632 37904 40273 40562 42024 54878 56856 57264 60843 80546 81124 82317 84048 109756 113712 120819 121686 122879 161092 162248 164634 219512 241638 243372 245758 322184 324496 329268 368637 439024 466463 483276 486744 491516 644368 658536 737274 932926 966552 973488 983032 1317072 1399389 1474548 1865852 1933104 1966064 2088943 2798778 2826217 2949096 3731704 4177886 5597556 5652434 5898192 6266829 7463408 8355772 8478651 11195112 11304868 12533658 16711544 16957302 22390224 22609736 25067316 33423088 33914604 45219472 48045689 50134632 67829208 96091378 100269264 135658416 144137067 192182756 288274134 384365512 576548268 768731024 1153096536 2306193072