Search a number
-
+
304556340 = 2235112320063
BaseRepresentation
bin10010001001110…
…010100100110100
3210020002001202110
4102021302210310
51110431300330
650115411020
710355454234
oct2211624464
9706061673
10304556340
11146a06760
1285bb3a70
134b13496a
142c63bcc4
151bb0ddb0
hex12272934

304556340 has 96 divisors (see below), whose sum is σ = 970776576. Its totient is φ = 70618240.

The previous prime is 304556333. The next prime is 304556353. The reversal of 304556340 is 43655403.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304556298 and 304556307.

It is a congruent number.

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, 5149 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (10112256).

Almost surely, 2304556340 is an apocalyptic number.

304556340 is a gapful number since it is divisible by the number (30) 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 304556340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485388288).

304556340 is an abundant number, since it is smaller than the sum of its proper divisors (666220236).

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

304556340 is a wasteful number, since it uses less digits than its factorization.

304556340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20109 (or 20107 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 304556340 is about 17451.5426252237. The cubic root of 304556340 is about 672.8050071428.

The spelling of 304556340 in words is "three hundred four million, five hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 20063 40126 60189 80252 100315 120378 200630 220693 240756 300945 401260 441386 461449 601890 662079 882772 922898 1103465 1203780 1324158 1384347 1845796 2206930 2307245 2648316 2768694 3310395 4413860 4614490 5075939 5537388 6620790 6921735 9228980 10151878 13241580 13843470 15227817 20303756 25379695 27686940 30455634 50759390 60911268 76139085 101518780 152278170 304556340