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2443430912 = 21013312191
BaseRepresentation
bin1001000110100011…
…1100110000000000
320022021202011002012
42101220330300000
520001004242122
61042243112052
7114356551166
oct22150746000
96267664065
102443430912
11104428689a
12582372628
132cc2b4010
14192727236
15e47a47e2
hex91a3cc00

2443430912 has 132 divisors (see below), whose sum is σ = 5463819648. Its totient is φ = 1085644800.

The previous prime is 2443430903. The next prime is 2443430923. The reversal of 2443430912 is 2190343442.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12792737 + ... + 12792927.

Almost surely, 22443430912 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 2443430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731909824).

2443430912 is an abundant number, since it is smaller than the sum of its proper divisors (3020388736).

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

2443430912 is a wasteful number, since it uses less digits than its factorization.

2443430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2443430912 is about 49431.0723330983. The cubic root of 2443430912 is about 1346.8938025967.

The spelling of 2443430912 in words is "two billion, four hundred forty-three million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 191 208 248 256 382 403 416 496 512 764 806 832 961 992 1024 1528 1612 1664 1922 1984 2483 3056 3224 3328 3844 3968 4966 5921 6112 6448 6656 7688 7936 9932 11842 12224 12493 12896 13312 15376 15872 19864 23684 24448 24986 25792 30752 31744 39728 47368 48896 49972 51584 61504 76973 79456 94736 97792 99944 103168 123008 153946 158912 183551 189472 195584 199888 206336 246016 307892 317824 367102 378944 399776 412672 492032 615784 635648 734204 757888 799552 984064 1231568 1271296 1468408 1515776 1599104 2386163 2463136 2542592 2936816 3031552 3198208 4772326 4926272 5873632 6063104 6396416 9544652 9852544 11747264 12792832 19089304 19705088 23494528 38178608 39410176 46989056 76357216 78820352 93978112 152714432 187956224 305428864 610857728 1221715456 2443430912