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304401220 = 225374179127
BaseRepresentation
bin10010001001001…
…100101101000100
3210012210011222021
4102021030231010
51110411314340
650112212524
710354240054
oct2211145504
9705704867
10304401220
11146910162
1285b3a144
134b0ac186
142c5db564
151bacce4a
hex1224cb44

304401220 has 96 divisors (see below), whose sum is σ = 686407680. Its totient is φ = 113218560.

The previous prime is 304401203. The next prime is 304401221. The reversal of 304401220 is 22104403.

It is a junction number, because it is equal to n+sod(n) for n = 304401194 and 304401203.

It is not an unprimeable number, because it can be changed into a prime (304401221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2396797 + ... + 2396923.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2304401220 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 304401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

304401220 is an abundant number, since it is smaller than the sum of its proper divisors (382006460).

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

304401220 is a wasteful number, since it uses less digits than its factorization.

304401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 304401220 is about 17447.0977529215. The cubic root of 304401220 is about 672.6907609176.

Adding to 304401220 its reverse (22104403), we get a palindrome (326505623).

The spelling of 304401220 in words is "three hundred four million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 41 74 79 82 127 148 158 164 185 205 254 316 370 395 410 508 635 740 790 820 1270 1517 1580 2540 2923 3034 3239 4699 5207 5846 6068 6478 7585 9398 10033 10414 11692 12956 14615 15170 16195 18796 20066 20828 23495 26035 29230 30340 32390 40132 46990 50165 52070 58460 64780 93980 100330 104140 119843 192659 200660 239686 371221 385318 411353 479372 599215 742442 770636 822706 963295 1198430 1484884 1645412 1856105 1926590 2056765 2396860 3712210 3853180 4113530 7424420 8227060 15220061 30440122 60880244 76100305 152200610 304401220