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3296945920 = 2858331033
BaseRepresentation
bin1100010010000011…
…0110011100000000
322111202210012120011
43010200312130000
523223004232140
61303052554304
7144462402142
oct30440663400
98452705504
103296945920
1114420492a4
12780182994
13407083198
14233c22c92
1514469ccea
hexc4836700

3296945920 has 72 divisors (see below), whose sum is σ = 7992620496. Its totient is φ = 1302847488.

The previous prime is 3296945917. The next prime is 3296945933. The reversal of 3296945920 is 295496923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90724 + ... + 121756.

It is an arithmetic number, because the mean of its divisors is an integer number (111008618).

Almost surely, 23296945920 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 3296945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996310248).

3296945920 is an abundant number, since it is smaller than the sum of its proper divisors (4695674576).

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

3296945920 is an equidigital number, since it uses as much as digits as its factorization.

3296945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31137 (or 31123 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The square root of 3296945920 is about 57419.0379578063. The cubic root of 3296945920 is about 1488.3461252083.

The spelling of 3296945920 in words is "three billion, two hundred ninety-six million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 640 664 830 1280 1328 1660 2656 3320 5312 6640 10624 13280 21248 26560 31033 53120 62066 106240 124132 155165 248264 310330 496528 620660 993056 1241320 1986112 2482640 2575739 3972224 4965280 5151478 7944448 9930560 10302956 12878695 19861120 20605912 25757390 39722240 41211824 51514780 82423648 103029560 164847296 206059120 329694592 412118240 659389184 824236480 1648472960 3296945920