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3301952896 = 271122710331
BaseRepresentation
bin1100010011001111…
…1100110110000000
322112010012120211201
43010303330312000
523230244443041
61303352150544
7144553064554
oct30463746600
98463176751
103301952896
1114449590a0
12781998454
134081171a8
14234767864
15144d3b631
hexc4cfcd80

3301952896 has 64 divisors (see below), whose sum is σ = 7208429760. Its totient is φ = 1494131200.

The previous prime is 3301952869. The next prime is 3301952939. The reversal of 3301952896 is 6982591033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314451 + ... + 324781.

It is an arithmetic number, because the mean of its divisors is an integer number (112631715).

Almost surely, 23301952896 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 3301952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604214880).

3301952896 is an abundant number, since it is smaller than the sum of its proper divisors (3906476864).

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

3301952896 is a wasteful number, since it uses less digits than its factorization.

3301952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583 (or 10571 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 3301952896 is about 57462.6217292598. The cubic root of 3301952896 is about 1489.0991801317.

The spelling of 3301952896 in words is "three billion, three hundred one million, nine hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 227 352 454 704 908 1408 1816 2497 3632 4994 7264 9988 10331 14528 19976 20662 29056 39952 41324 79904 82648 113641 159808 165296 227282 319616 330592 454564 661184 909128 1322368 1818256 2345137 3636512 4690274 7273024 9380548 14546048 18761096 25796507 37522192 51593014 75044384 103186028 150088768 206372056 300177536 412744112 825488224 1650976448 3301952896