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3304560096 = 253217239703
BaseRepresentation
bin1100010011110111…
…1001010111100000
322112022010001020200
43010331321113200
523231431410341
61303524105200
7144614203665
oct30475712740
98468101220
103304560096
111446379a02
12782835200
1340881ab06
14234c45a6c
151451a3db6
hexc4f795e0

3304560096 has 108 divisors (see below), whose sum is σ = 9982895832. Its totient is φ = 1036698624.

The previous prime is 3304560053. The next prime is 3304560139. The reversal of 3304560096 is 6900654033.

3304560096 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 560 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3304560053) and next prime (3304560139).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3304560096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63381 + ... + 103083.

Almost surely, 23304560096 is an apocalyptic number.

3304560096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304560096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991447916).

3304560096 is an abundant number, since it is smaller than the sum of its proper divisors (6678335736).

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

3304560096 is a wasteful number, since it uses less digits than its factorization.

3304560096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39753 (or 39725 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3304560096 is about 57485.3033044099. The cubic root of 3304560096 is about 1489.4910046185.

The spelling of 3304560096 in words is "three billion, three hundred four million, five hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 6936 9248 10404 13872 20808 27744 39703 41616 79406 83232 119109 158812 238218 317624 357327 476436 635248 674951 714654 952872 1270496 1349902 1429308 1905744 2024853 2699804 2858616 3811488 4049706 5399608 5717232 6074559 8099412 10799216 11434464 11474167 12149118 16198824 21598432 22948334 24298236 32397648 34422501 45896668 48596472 64795296 68845002 91793336 97192944 103267503 137690004 183586672 194385888 206535006 275380008 367173344 413070012 550760016 826140024 1101520032 1652280048 3304560096