Search a number
-
+
302020320330 = 23455331722193
BaseRepresentation
bin1000110010100011101…
…00000101110001001010
31001212120022111221020000
410121101310011301022
514422014200222310
6350425103343430
730551226236151
oct4312164056112
91055508457200
10302020320330
111070a4662923
124a649bb1b76
132263256c121
14108915aa598
157cc9c374c0
hex4651d05c4a

302020320330 has 160 divisors (see below), whose sum is σ = 830069271504. Its totient is φ = 78766331904.

The previous prime is 302020320313. The next prime is 302020320367. The reversal of 302020320330 is 33023020203.

302020320330 is a `hidden beast` number, since 302 + 0 + 2 + 0 + 32 + 0 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165640046121 + 136380274209 = 406989^2 + 369297^2 .

It is a super-2 number, since 2×3020203203302 (a number of 24 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 13597714 + ... + 13619906.

Almost surely, 2302020320330 is an apocalyptic number.

302020320330 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 302020320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415034635752).

302020320330 is an abundant number, since it is smaller than the sum of its proper divisors (528048951174).

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

302020320330 is a wasteful number, since it uses less digits than its factorization.

302020320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22582 (or 22573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 302020320330 its reverse (33023020203), we get a palindrome (335043340533).

The spelling of 302020320330 in words is "three hundred two billion, twenty million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 317 318 405 477 530 634 795 810 951 954 1431 1585 1590 1902 2385 2853 2862 3170 4293 4755 4770 5706 7155 8559 8586 9510 14265 14310 16801 17118 21465 22193 25677 28530 33602 42795 42930 44386 50403 51354 66579 84005 85590 100806 110965 128385 133158 151209 168010 199737 221930 252015 256770 302418 332895 399474 453627 504030 599211 665790 756045 907254 998685 1176229 1198422 1360881 1512090 1797633 1997370 2268135 2352458 2721762 2996055 3528687 3595266 4536270 5881145 5992110 6804405 7035181 7057374 8988165 10586061 11762290 13608810 14070362 17643435 17976330 21105543 21172122 31758183 35175905 35286870 42211086 52930305 63316629 63516366 70351810 95274549 105527715 105860610 126633258 158790915 189949887 190549098 211055430 316583145 317581830 372864593 379899774 476372745 569849661 633166290 745729186 949749435 952745490 1118593779 1139699322 1864322965 1899498870 2237187558 2849248305 3355781337 3728645930 5592968895 5698496610 6711562674 10067344011 11185937790 16778906685 20134688022 30202032033 33557813370 50336720055 60404064066 100673440110 151010160165 302020320330