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304223024 = 24717236947
BaseRepresentation
bin10010001000100…
…001001100110000
3210012110010112102
4102020201030300
51110340114044
650104315532
710352565410
oct2210411460
9705403472
10304223024
111467a9296
1285a72ba8
134b049031
142c592640
151ba9524e
hex12221330

304223024 has 80 divisors (see below), whose sum is σ = 744380928. Its totient is φ = 117359616.

The previous prime is 304222987. The next prime is 304223027. The reversal of 304223024 is 420322403.

It is a junction number, because it is equal to n+sod(n) for n = 304222987 and 304223005.

It is not an unprimeable number, because it can be changed into a prime (304223027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40319 + ... + 47265.

Almost surely, 2304223024 is an apocalyptic number.

304223024 is a gapful number since it is divisible by the number (34) 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 304223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372190464).

304223024 is an abundant number, since it is smaller than the sum of its proper divisors (440157904).

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

304223024 is a wasteful number, since it uses less digits than its factorization.

304223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 304223024 is about 17441.9902534086. The cubic root of 304223024 is about 672.5594712542.

Adding to 304223024 its reverse (420322403), we get a palindrome (724545427).

The spelling of 304223024 in words is "three hundred four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 476 644 782 952 1288 1564 1904 2576 2737 3128 5474 6256 6947 10948 13894 21896 27788 43792 48629 55576 97258 111152 118099 159781 194516 236198 319562 389032 472396 639124 778064 826693 944792 1118467 1278248 1653386 1889584 2236934 2556496 2716277 3306772 4473868 5432554 6613544 8947736 10865108 13227088 17895472 19013939 21730216 38027878 43460432 76055756 152111512 304223024