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423443412 = 2232717971019
BaseRepresentation
bin11001001111010…
…011101111010100
31002111210011011100
4121033103233110
51331400142122
6110003510100
713331131620
oct3117235724
91074704140
10423443412
111a8028337
12b9988330
136995c142
1440348180
1527294aac
hex193d3bd4

423443412 has 144 divisors (see below), whose sum is σ = 1309875840. Its totient is φ = 112582656.

The previous prime is 423443357. The next prime is 423443437. The reversal of 423443412 is 214344324.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415039 + ... + 416057.

It is an arithmetic number, because the mean of its divisors is an integer number (9096360).

Almost surely, 2423443412 is an apocalyptic number.

423443412 is a gapful number since it is divisible by the number (42) 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 423443412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654937920).

423443412 is an abundant number, since it is smaller than the sum of its proper divisors (886432428).

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

423443412 is a wasteful number, since it uses less digits than its factorization.

423443412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1145 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 423443412 is about 20577.7406923112. The cubic root of 423443412 is about 750.9282799212.

Adding to 423443412 its reverse (214344324), we get a palindrome (637787736).

The spelling of 423443412 in words is "four hundred twenty-three million, four hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 97 102 119 126 153 194 204 238 252 291 306 357 388 476 582 612 679 714 873 1019 1071 1164 1358 1428 1649 1746 2037 2038 2142 2716 3057 3298 3492 4074 4076 4284 4947 6111 6114 6596 7133 8148 9171 9894 11543 12222 12228 14266 14841 17323 18342 19788 21399 23086 24444 28532 29682 34629 34646 36684 42798 46172 51969 59364 64197 69258 69292 85596 98843 103887 103938 121261 128394 138516 155907 197686 207774 207876 242522 256788 296529 311814 363783 395372 415548 485044 593058 623628 691901 727566 889587 1091349 1186116 1383802 1455132 1680331 1779174 2075703 2182698 2767604 3360662 3558348 4151406 4365396 5040993 6227109 6721324 8302812 10081986 11762317 12454218 15122979 20163972 23524634 24908436 30245958 35286951 47049268 60491916 70573902 105860853 141147804 211721706 423443412