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3297960384 = 263127211641
BaseRepresentation
bin1100010010010010…
…1110000111000000
322111211200202010220
43010210232013000
523223234213014
61303130423040
7144504125565
oct30444560700
98454622126
103297960384
1114426814a4
12780591a80
13407349b64
1423400886c
151447ed6a9
hexc492e1c0

3297960384 has 112 divisors (see below), whose sum is σ = 8850026496. Its totient is φ = 1083801600.

The previous prime is 3297960371. The next prime is 3297960401. The reversal of 3297960384 is 4830697923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5144704 + ... + 5145344.

Almost surely, 23297960384 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 3297960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425013248).

3297960384 is an abundant number, since it is smaller than the sum of its proper divisors (5552066112).

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

3297960384 is a wasteful number, since it uses less digits than its factorization.

3297960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3297960384 is about 57427.8711428519. The cubic root of 3297960384 is about 1488.4987633128.

The spelling of 3297960384 in words is "three billion, two hundred ninety-seven million, nine hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 211 254 381 422 508 633 641 762 844 1016 1266 1282 1524 1688 1923 2032 2532 2564 3048 3376 3846 4064 5064 5128 6096 6752 7692 8128 10128 10256 12192 13504 15384 20256 20512 24384 26797 30768 40512 41024 53594 61536 80391 81407 107188 123072 135251 160782 162814 214376 244221 270502 321564 325628 405753 428752 488442 541004 643128 651256 811506 857504 976884 1082008 1286256 1302512 1623012 1715008 1953768 2164016 2572512 2605024 3246024 3907536 4328032 5145024 5210048 6492048 7815072 8656064 12984096 15630144 17176877 25968192 34353754 51530631 68707508 103061262 137415016 206122524 274830032 412245048 549660064 824490096 1099320128 1648980192 3297960384