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3270468096 = 2933733797
BaseRepresentation
bin1100001011101111…
…0110001000000000
322102220221222211000
43002323312020000
523144214434341
61300305252000
7144021343260
oct30273661000
98386858730
103270468096
1114291040a5
12773334000
1340174242c
142304cd7a0
151421bc8b6
hexc2ef6200

3270468096 has 160 divisors (see below), whose sum is σ = 11064113280. Its totient is φ = 934391808.

The previous prime is 3270468077. The next prime is 3270468107. The reversal of 3270468096 is 6908640723.

3270468096 is a `hidden beast` number, since 32 + 70 + 468 + 0 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79870 + ... + 113666.

It is an arithmetic number, because the mean of its divisors is an integer number (69150708).

Almost surely, 23270468096 is an apocalyptic number.

3270468096 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 3270468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532056640).

3270468096 is an abundant number, since it is smaller than the sum of its proper divisors (7793645184).

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

3270468096 is an equidigital number, since it uses as much as digits as its factorization.

3270468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33831 (or 33809 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3270468096 is about 57188.0065748055. The cubic root of 3270468096 is about 1484.3511010452.

The spelling of 3270468096 in words is "three billion, two hundred seventy million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 33797 48384 67594 96768 101391 135188 202782 236579 270376 304173 405564 473158 540752 608346 709737 811128 912519 946316 1081504 1216692 1419474 1622256 1825038 1892632 2129211 2163008 2433384 2838948 3244512 3650076 3785264 4258422 4326016 4866768 5677896 6387633 6489024 7300152 7570528 8516844 8652032 9733536 11355792 12775266 12978048 14600304 15141056 17033688 17304064 19467072 22711584 25550532 25956096 29200608 30282112 34067376 38934144 45423168 51101064 51912192 58401216 60564224 68134752 77868288 90846336 102202128 116802432 121128448 136269504 155736576 181692672 204404256 233604864 272539008 363385344 408808512 467209728 545078016 817617024 1090156032 1635234048 3270468096