Search a number
-
+
3328441008 = 243416725243
BaseRepresentation
bin1100011001100011…
…1111101010110000
322120222001022200220
43012120333222300
523304040103013
61310140013040
7145324165434
oct30630775260
98528038626
103328441008
1114588aaaa2
1278a831180
1341075c829
142380a09c4
1514731eb23
hexc663fab0

3328441008 has 80 divisors (see below), whose sum is σ = 8940011136. Its totient is φ = 1066222080.

The previous prime is 3328441007. The next prime is 3328441009. The reversal of 3328441008 is 8001448233.

It is an interprime number because it is at equal distance from previous prime (3328441007) and next prime (3328441009).

It is a super-2 number, since 2×33284410082 = 22157039087472112128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3328441008.

It is not an unprimeable number, because it can be changed into a prime (3328441007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119235 + ... + 144477.

Almost surely, 23328441008 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 3328441008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470005568).

3328441008 is an abundant number, since it is smaller than the sum of its proper divisors (5611570128).

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

3328441008 is a wasteful number, since it uses less digits than its factorization.

3328441008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362 (or 25356 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3328441008 is about 57692.6425811819. The cubic root of 3328441008 is about 1493.0704080224.

The spelling of 3328441008 in words is "three billion, three hundred twenty-eight million, four hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 67 82 123 134 164 201 246 268 328 402 492 536 656 804 984 1072 1608 1968 2747 3216 5494 8241 10988 16482 21976 25243 32964 43952 50486 65928 75729 100972 131856 151458 201944 302916 403888 605832 1034963 1211664 1691281 2069926 3104889 3382562 4139852 5073843 6209778 6765124 8279704 10147686 12419556 13530248 16559408 20295372 24839112 27060496 40590744 49678224 69342521 81181488 138685042 208027563 277370084 416055126 554740168 832110252 1109480336 1664220504 3328441008