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304323240 = 233513373523
BaseRepresentation
bin10010001000111…
…001101010101000
3210012122020000010
4102020321222220
51110401320430
650110411520
710353463524
oct2210715250
9705566003
10304323240
11146867611
1285b00ba0
134b082830
142c5bad84
151bab4cb0
hex12239aa8

304323240 has 128 divisors (see below), whose sum is σ = 987719040. Its totient is φ = 74566656.

The previous prime is 304323199. The next prime is 304323251. The reversal of 304323240 is 42323403.

It is a super-2 number, since 2×3043232402 = 185225268808195200, which contains 22 as substring.

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, 581619 + ... + 582141.

It is an arithmetic number, because the mean of its divisors is an integer number (7716555).

Almost surely, 2304323240 is an apocalyptic number.

304323240 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 304323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493859520).

304323240 is an abundant number, since it is smaller than the sum of its proper divisors (683395800).

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

304323240 is a wasteful number, since it uses less digits than its factorization.

304323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 304323240 is about 17444.8628541471. The cubic root of 304323240 is about 672.6333138138.

Adding to 304323240 its reverse (42323403), we get a palindrome (346646643).

It can be divided in two parts, 30 and 4323240, that added together give a triangular number (4323270 = T2940).

The spelling of 304323240 in words is "three hundred four million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 373 390 520 523 746 780 1046 1119 1492 1560 1569 1865 2092 2238 2615 2984 3138 3730 4184 4476 4849 5230 5595 6276 6799 7460 7845 8952 9698 10460 11190 12552 13598 14547 14920 15690 19396 20397 20920 22380 24245 27196 29094 31380 33995 38792 40794 44760 48490 54392 58188 62760 67990 72735 81588 96980 101985 116376 135980 145470 163176 193960 195079 203970 271960 290940 390158 407940 581880 585237 780316 815880 975395 1170474 1560632 1950790 2340948 2536027 2926185 3901580 4681896 5072054 5852370 7608081 7803160 10144108 11704740 12680135 15216162 20288216 23409480 25360270 30432324 38040405 50720540 60864648 76080810 101441080 152161620 304323240