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3288029888 = 2611132771297
BaseRepresentation
bin1100001111111011…
…0101101011000000
322111011000020001202
43003332311223000
523213213424023
61302133520332
7144323535653
oct30376655300
98434006052
103288029888
111438009580
127791a30a8
13405280b20
1423298189a
151439db128
hexc3fb5ac0

3288029888 has 112 divisors (see below), whose sum is σ = 7698967584. Its totient is φ = 1373552640.

The previous prime is 3288029887. The next prime is 3288029893. The reversal of 3288029888 is 8889208823.

It is a super-2 number, since 2×32880298882 = 21622281088762585088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3288029887) 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, 2534456 + ... + 2535752.

It is an arithmetic number, because the mean of its divisors is an integer number (68740782).

Almost surely, 23288029888 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 3288029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849483792).

3288029888 is an abundant number, since it is smaller than the sum of its proper divisors (4410937696).

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

3288029888 is a wasteful number, since it uses less digits than its factorization.

3288029888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 56.

The square root of 3288029888 is about 57341.3453626613. The cubic root of 3288029888 is about 1487.0032539278.

The spelling of 3288029888 in words is "three billion, two hundred eighty-eight million, twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 277 286 352 416 554 572 704 832 1108 1144 1297 2216 2288 2594 3047 3601 4432 4576 5188 6094 7202 8864 9152 10376 12188 14267 14404 16861 17728 20752 24376 28534 28808 33722 39611 41504 48752 57068 57616 67444 79222 83008 97504 114136 115232 134888 158444 185471 195008 228272 230464 269776 316888 359269 370942 456544 539552 633776 718538 741884 913088 1079104 1267552 1437076 1483768 2535104 2874152 2967536 3951959 4670497 5748304 5935072 7903918 9340994 11496608 11870144 15807836 18681988 22993216 31615672 37363976 51375467 63231344 74727952 102750934 126462688 149455904 205501868 252925376 298911808 411003736 822007472 1644014944 3288029888