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3304606404 = 223111710713763
BaseRepresentation
bin1100010011111000…
…0100101011000100
322112022012101202210
43010332010223010
523231434401104
61303525103420
7144614456001
oct30476045304
98468171683
103304606404
111446400780
12782857b70
13408835c08
14234c588a8
151451b2989
hexc4f84ac4

3304606404 has 96 divisors (see below), whose sum is σ = 8990424576. Its totient is φ = 933614080.

The previous prime is 3304606337. The next prime is 3304606427. The reversal of 3304606404 is 4046064033.

It is a super-2 number, since 2×33046064042 = 21840846970715622432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233227 + ... + 246989.

It is an arithmetic number, because the mean of its divisors is an integer number (93650256).

Almost surely, 23304606404 is an apocalyptic number.

3304606404 is a gapful number since it is divisible by the number (34) 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 3304606404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495212288).

3304606404 is an abundant number, since it is smaller than the sum of its proper divisors (5685818172).

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

3304606404 is a wasteful number, since it uses less digits than its factorization.

3304606404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13905 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3304606404 is about 57485.7060842084. The cubic root of 3304606404 is about 1489.4979621787.

The spelling of 3304606404 in words is "three billion, three hundred four million, six hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 107 132 187 204 214 321 374 428 561 642 748 1122 1177 1284 1819 2244 2354 3531 3638 4708 5457 7062 7276 10914 13763 14124 20009 21828 27526 40018 41289 55052 60027 80036 82578 120054 151393 165156 233971 240108 302786 454179 467942 605572 701913 908358 935884 1403826 1472641 1816716 2573681 2807652 2945282 4417923 5147362 5890564 7721043 8835846 10294724 15442086 16199051 17671692 25034897 30884172 32398102 48597153 50069794 64796204 75104691 97194306 100139588 150209382 194388612 275383867 300418764 550767734 826151601 1101535468 1652303202 3304606404