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3289763296 = 251721272801
BaseRepresentation
bin1100010000010101…
…1100110111100000
322111021021021212001
43010011130313200
523214134411141
61302235013344
7144344345431
oct30405346740
98437237761
103289763296
111438a92946
1277989a254
13405739b01
14232cb3488
15143c2ea31
hexc415cde0

3289763296 has 72 divisors (see below), whose sum is σ = 6936765696. Its totient is φ = 1535385600.

The previous prime is 3289763293. The next prime is 3289763297. The reversal of 3289763296 is 6923679823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289763293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173096 + ... + 1175896.

It is an arithmetic number, because the mean of its divisors is an integer number (96343968).

Almost surely, 23289763296 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 3289763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468382848).

3289763296 is an abundant number, since it is smaller than the sum of its proper divisors (3647002400).

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

3289763296 is a wasteful number, since it uses less digits than its factorization.

3289763296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2947 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The square root of 3289763296 is about 57356.4581891176. The cubic root of 3289763296 is about 1487.2645178255.

The spelling of 3289763296 in words is "three billion, two hundred eighty-nine million, seven hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 127 136 254 272 289 508 544 578 1016 1156 2032 2159 2312 2801 4064 4318 4624 5602 8636 9248 11204 17272 22408 34544 36703 44816 47617 69088 73406 89632 95234 146812 190468 293624 355727 380936 587248 711454 761872 809489 1174496 1422908 1523744 1618978 2845816 3237956 5691632 6047359 6475912 11383264 12094718 12951824 24189436 25903648 48378872 96757744 102805103 193515488 205610206 411220412 822440824 1644881648 3289763296