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3242024032 = 251317617743
BaseRepresentation
bin1100000100111101…
…0101110001100000
322100221102212220011
43001033111301200
523114424232112
61253411454304
7143224515052
oct30117256140
98327385804
103242024032
111414046705
127658b7394
133c8893720
1422a8078d2
1513e94eaa7
hexc13d5c60

3242024032 has 96 divisors (see below), whose sum is σ = 7299657792. Its totient is φ = 1404125184.

The previous prime is 3242024021. The next prime is 3242024039. The reversal of 3242024032 is 2304202423.

It is a junction number, because it is equal to n+sod(n) for n = 3242023994 and 3242024012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242024039) 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, 4363053 + ... + 4363795.

It is an arithmetic number, because the mean of its divisors is an integer number (76038102).

Almost surely, 23242024032 is an apocalyptic number.

3242024032 is a gapful number since it is divisible by the number (32) 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 3242024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649828896).

3242024032 is an abundant number, since it is smaller than the sum of its proper divisors (4057633760).

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

3242024032 is a wasteful number, since it uses less digits than its factorization.

3242024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3242024032 is about 56938.7744160339. The cubic root of 3242024032 is about 1480.0353096032.

Adding to 3242024032 its reverse (2304202423), we get a palindrome (5546226455).

The spelling of 3242024032 in words is "three billion, two hundred forty-two million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 617 743 884 1234 1486 1768 2468 2972 3536 4936 5944 7072 8021 9659 9872 10489 11888 12631 16042 19318 19744 20978 23776 25262 32084 38636 41956 50524 64168 77272 83912 101048 128336 136357 154544 164203 167824 202096 256672 272714 309088 328406 335648 404192 458431 545428 656812 916862 1090856 1313624 1833724 2181712 2627248 3667448 4363424 5254496 5959603 7334896 7793327 11919206 14669792 15586654 23838412 31173308 47676824 62346616 95353648 101313251 124693232 190707296 202626502 249386464 405253004 810506008 1621012016 3242024032