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3304522100 = 2252112416661
BaseRepresentation
bin1100010011110111…
…0000000101110100
322112022001010010102
43010331300011310
523231424201400
61303523213232
7144613655135
oct30475600564
98468033112
103304522100
111446353400
12782817218
13408806729
14234c35c8c
151451979d5
hexc4f70174

3304522100 has 108 divisors (see below), whose sum is σ = 8075423244. Its totient is φ = 1172160000.

The previous prime is 3304522099. The next prime is 3304522129. The reversal of 3304522100 is 12254033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 77827684 + 3226694416 = 8822^2 + 56804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 492770 + ... + 499430.

Almost surely, 23304522100 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 3304522100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037711622).

3304522100 is an abundant number, since it is smaller than the sum of its proper divisors (4770901144).

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

3304522100 is a wasteful number, since it uses less digits than its factorization.

3304522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3304522100 is about 57484.9728189898. The cubic root of 3304522100 is about 1489.4852958489.

Adding to 3304522100 its reverse (12254033), we get a palindrome (3316776133).

The spelling of 3304522100 in words is "three billion, three hundred four million, five hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 121 164 205 220 242 275 410 451 484 550 605 820 902 1025 1100 1210 1804 2050 2255 2420 3025 4100 4510 4961 6050 6661 9020 9922 11275 12100 13322 19844 22550 24805 26644 33305 45100 49610 66610 73271 99220 124025 133220 146542 166525 248050 273101 293084 333050 366355 496100 546202 666100 732710 805981 1092404 1365505 1465420 1611962 1831775 2731010 3004111 3223924 3663550 4029905 5462020 6008222 6827525 7327100 8059810 12016444 13655050 15020555 16119620 20149525 27310100 30041110 33045221 40299050 60082220 66090442 75102775 80598100 132180884 150205550 165226105 300411100 330452210 660904420 826130525 1652261050 3304522100