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3304404144 = 2432435310069
BaseRepresentation
bin1100010011110101…
…0011010010110000
322112021211010022200
43010331103102300
523231411413034
61303520503200
7144612654216
oct30475232260
98467733280
103304404144
111446282818
1278277ab00
13408794b32
14234c04cb6
15145172a99
hexc4f534b0

3304404144 has 120 divisors (see below), whose sum is σ = 9642306960. Its totient is φ = 1055448576.

The previous prime is 3304404139. The next prime is 3304404163. The reversal of 3304404144 is 4414044033.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323142 + ... + 333210.

It is an arithmetic number, because the mean of its divisors is an integer number (80352558).

Almost surely, 23304404144 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 3304404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821153480).

3304404144 is an abundant number, since it is smaller than the sum of its proper divisors (6337902816).

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

3304404144 is a wasteful number, since it uses less digits than its factorization.

3304404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3304404144 is about 57483.9468373563. The cubic root of 3304404144 is about 1489.4675730827.

Adding to 3304404144 its reverse (4414044033), we get a palindrome (7718448177).

The spelling of 3304404144 in words is "three billion, three hundred four million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 53 72 86 106 129 144 159 172 212 258 318 344 387 424 477 516 636 688 774 848 954 1032 1272 1548 1908 2064 2279 2544 3096 3816 4558 6192 6837 7632 9116 10069 13674 18232 20138 20511 27348 30207 36464 40276 41022 54696 60414 80552 82044 90621 109392 120828 161104 164088 181242 241656 328176 362484 432967 483312 533657 724968 865934 1067314 1298901 1449936 1600971 1731868 2134628 2597802 3201942 3463736 3896703 4269256 4802913 5195604 6403884 6927472 7793406 8538512 9605826 10391208 12807768 15586812 19211652 20782416 22947251 25615536 31173624 38423304 45894502 62347248 68841753 76846608 91789004 137683506 183578008 206525259 275367012 367156016 413050518 550734024 826101036 1101468048 1652202072 3304404144