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3299583364 = 22721123732
BaseRepresentation
bin1100010010101011…
…1010010110000100
322111221202012110021
43010222322112010
523224143131424
61303225304524
7144523665400
oct30452722604
98457665407
103299583364
11144358a900
12781035144
134077977bc
1423430c100
15144a1e4e4
hexc4aba584

3299583364 has 81 divisors (see below), whose sum is σ = 7403005701. Its totient is φ = 1282105440.

The previous prime is 3299583361. The next prime is 3299583367. The reversal of 3299583364 is 4633859923.

The square root of 3299583364 is 57442.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3299583361) and next prime (3299583367).

It can be written as a sum of positive squares in only one way, i.e., 1793522500 + 1506060864 = 42350^2 + 38808^2 .

It is not an unprimeable number, because it can be changed into a prime (3299583361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8845882 + ... + 8846254.

Almost surely, 23299583364 is an apocalyptic number.

3299583364 is the 57442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3299583364

3299583364 is an abundant number, since it is smaller than the sum of its proper divisors (4103422337).

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

3299583364 is a wasteful number, since it uses less digits than its factorization.

3299583364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 52.

The cubic root of 3299583364 is about 1488.7428947622.

The spelling of 3299583364 in words is "three billion, two hundred ninety-nine million, five hundred eighty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 373 484 539 746 847 1078 1492 1694 2156 2611 3388 4103 5222 5929 8206 10444 11858 16412 18277 23716 28721 36554 45133 57442 73108 90266 114884 139129 180532 201047 278258 315931 402094 556516 631862 804188 973903 1263724 1530419 1947806 2211517 3060838 3895612 4423034 6121676 6817321 8846068 10712933 13634642 16834609 21425866 27269284 33669218 42851732 67338436 74990531 117842263 149981062 235684526 299962124 471369052 824895841 1649791682 3299583364