Search a number
-
+
305804322 = 23541103149
BaseRepresentation
bin10010001110100…
…011010000100010
3210022102110200000
4102032203100202
51111241214242
650202240430
710402202535
oct2216432042
9708373600
10305804322
1114768934a
12864b6116
134b480a05
142c884a1c
151bca8a4c
hex123a3422

305804322 has 96 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 97822080.

The previous prime is 305804273. The next prime is 305804341. The reversal of 305804322 is 223408503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052304 + ... + 2052452.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2305804322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305804322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

305804322 is an abundant number, since it is smaller than the sum of its proper divisors (409674078).

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

305804322 is a wasteful number, since it uses less digits than its factorization.

305804322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 305804322 is about 17487.2617067396. The cubic root of 305804322 is about 673.7227402021.

The spelling of 305804322 in words is "three hundred five million, eight hundred four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 103 123 149 162 206 243 246 298 309 369 447 486 618 738 894 927 1107 1341 1854 2214 2682 2781 3321 4023 4223 5562 6109 6642 8046 8343 8446 9963 12069 12218 12669 15347 16686 18327 19926 24138 25029 25338 30694 36207 36654 38007 46041 50058 54981 72414 76014 92082 109962 114021 138123 164943 228042 276246 329886 342063 414369 494829 629227 684126 828738 989658 1026189 1243107 1258454 1484487 1887681 2052378 2486214 2968974 3729321 3775362 5663043 7458642 11326086 16989129 33978258 50967387 101934774 152902161 305804322