Search a number
-
+
3266006304 = 253114916299
BaseRepresentation
bin1100001010101011…
…0100110100100000
322102121120022101110
43002222310310200
523142044200204
61300025503320
7143635411161
oct30252646440
98377508343
103266006304
111426636970
12771941b40
1340083c612
1422da8b768
15141ada889
hexc2ab4d20

3266006304 has 96 divisors (see below), whose sum is σ = 9373190400. Its totient is φ = 987526400.

The previous prime is 3266006291. The next prime is 3266006309. The reversal of 3266006304 is 4036006623.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3266006309) by changing a digit.

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, 515347 + ... + 521645.

It is an arithmetic number, because the mean of its divisors is an integer number (97637400).

Almost surely, 23266006304 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 3266006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686595200).

3266006304 is an abundant number, since it is smaller than the sum of its proper divisors (6107184096).

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

3266006304 is a wasteful number, since it uses less digits than its factorization.

3266006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3266006304 is about 57148.9834030318. The cubic root of 3266006304 is about 1483.6757767242.

The spelling of 3266006304 in words is "three billion, two hundred sixty-six million, six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 491 528 982 1056 1473 1964 2946 3928 5401 5892 6299 7856 10802 11784 12598 15712 16203 18897 21604 23568 25196 32406 37794 43208 47136 50392 64812 69289 75588 86416 100784 129624 138578 151176 172832 201568 207867 259248 277156 302352 415734 518496 554312 604704 831468 1108624 1662936 2217248 3092809 3325872 6185618 6651744 9278427 12371236 18556854 24742472 34020899 37113708 49484944 68041798 74227416 98969888 102062697 136083596 148454832 204125394 272167192 296909664 408250788 544334384 816501576 1088668768 1633003152 3266006304