Search a number
-
+
304430244030 = 232511278735521
BaseRepresentation
bin1000110111000010111…
…01001110000010111110
31002002210021012202001100
410123201131032002332
514441433120302110
6351504152353530
730665031243603
oct4334135160276
91062707182040
10304430244030
11108120a33200
124b0010a58a6
1322927920993
1410a3d6906aa
157dbb5bdbc0
hex46e174e0be

304430244030 has 144 divisors (see below), whose sum is σ = 871146358992. Its totient is φ = 73705420800.

The previous prime is 304430244017. The next prime is 304430244049. The reversal of 304430244030 is 30442034403.

304430244030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 304430243985 and 304430244003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8552670 + ... + 8588190.

It is an arithmetic number, because the mean of its divisors is an integer number (6049627493).

Almost surely, 2304430244030 is an apocalyptic number.

304430244030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304430244030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435573179496).

304430244030 is an abundant number, since it is smaller than the sum of its proper divisors (566716114962).

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

304430244030 is a wasteful number, since it uses less digits than its factorization.

304430244030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36343 (or 36329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 304430244030 its reverse (30442034403), we get a palindrome (334872278433).

The spelling of 304430244030 in words is "three hundred four billion, four hundred thirty million, two hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 787 990 1089 1210 1574 1815 2178 2361 3630 3935 4722 5445 7083 7870 8657 10890 11805 14166 17314 23610 25971 35415 35521 43285 51942 70830 71042 77913 86570 95227 106563 129855 155826 177605 190454 213126 259710 285681 319689 355210 389565 390731 476135 532815 571362 639378 779130 781462 857043 952270 1065630 1172193 1428405 1598445 1714086 1953655 2344386 2856810 3196890 3516579 3907310 4285215 4298041 5860965 7033158 8570430 8596082 11721930 12894123 17582895 21490205 25788246 27955027 35165790 38682369 42980410 55910054 64470615 77364738 83865081 128941230 139775135 167730162 193411845 251595243 279550270 307505297 386823690 419325405 503190486 615010594 838650810 922515891 1257976215 1537526485 1845031782 2515952430 2767547673 3075052970 3382558267 4612579455 5535095346 6765116534 9225158910 10147674801 13837738365 16912791335 20295349602 27675476730 30443024403 33825582670 50738374005 60886048806 101476748010 152215122015 304430244030