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3326040096 = 253319711151
BaseRepresentation
bin1100011000111111…
…0101100000100000
322120210112100021020
43012033311200200
523302431240341
61310012325440
7145264605621
oct30617654040
98523470236
103326040096
111457510175
12789a73880
134100cba82
14237a37a48
15146ee8566
hexc63f5820

3326040096 has 96 divisors (see below), whose sum is σ = 9029615616. Its totient is φ = 1070880000.

The previous prime is 3326040077. The next prime is 3326040101. The reversal of 3326040096 is 6900406233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33260400962 = 22125085440399378432, which contains 22 as substring.

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, 2889121 + ... + 2890271.

It is an arithmetic number, because the mean of its divisors is an integer number (94058496).

Almost surely, 23326040096 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 3326040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514807808).

3326040096 is an abundant number, since it is smaller than the sum of its proper divisors (5703575520).

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

3326040096 is a wasteful number, since it uses less digits than its factorization.

3326040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3326040096 is about 57671.8310442802. The cubic root of 3326040096 is about 1492.7113216991.

The spelling of 3326040096 in words is "three billion, three hundred twenty-six million, forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 971 992 1151 1488 1942 2302 2913 2976 3453 3884 4604 5826 6906 7768 9208 11652 13812 15536 18416 23304 27624 30101 31072 35681 36832 46608 55248 60202 71362 90303 93216 107043 110496 120404 142724 180606 214086 240808 285448 361212 428172 481616 570896 722424 856344 963232 1117621 1141792 1444848 1712688 2235242 2889696 3352863 3425376 4470484 6705726 8940968 13411452 17881936 26822904 34646251 35763872 53645808 69292502 103938753 107291616 138585004 207877506 277170008 415755012 554340016 831510024 1108680032 1663020048 3326040096