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2000330432 = 261712831433
BaseRepresentation
bin111011100111010…
…1001111011000000
312011101222022111022
41313032221323000
513044041033212
6530254005012
7100366346102
oct16716517300
95141868438
102000330432
11937152951
12479aa6768
1325b561899
1414d943572
15ba92a772
hex773a9ec0

2000330432 has 56 divisors (see below), whose sum is σ = 4209111216. Its totient is φ = 939941888.

The previous prime is 2000330417. The next prime is 2000330441. The reversal of 2000330432 is 2340330002.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2000330432.

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 7 ways as a sum of consecutive naturals, for example, 1395188 + ... + 1396620.

Almost surely, 22000330432 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 2000330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104555608).

2000330432 is an abundant number, since it is smaller than the sum of its proper divisors (2208780784).

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

2000330432 is a wasteful number, since it uses less digits than its factorization.

2000330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2000330432 is about 44725.0537394870. The cubic root of 2000330432 is about 1259.9904324460.

Adding to 2000330432 its reverse (2340330002), we get a palindrome (4340660434).

The spelling of 2000330432 in words is "two billion, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1283 1433 2566 2866 5132 5732 10264 11464 20528 21811 22928 24361 41056 43622 45856 48722 82112 87244 91712 97444 174488 194888 348976 389776 697952 779552 1395904 1559104 1838539 3677078 7354156 14708312 29416624 31255163 58833248 62510326 117666496 125020652 250041304 500082608 1000165216 2000330432