Search a number
-
+
3311004288 = 27327131817
BaseRepresentation
bin1100010101011001…
…1110101010000000
322112202020110000110
43011112132222000
523240104114123
61304314151320
7145023033504
oct30526365200
98482213013
103311004288
111449a80589
12784a22540
13409c66047
14235a42304
15145a28493
hexc559ea80

3311004288 has 64 divisors (see below), whose sum is σ = 8827585920. Its totient is φ = 1099560960.

The previous prime is 3311004271. The next prime is 3311004329. The reversal of 3311004288 is 8824001133.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88156 + ... + 119972.

It is an arithmetic number, because the mean of its divisors is an integer number (137931030).

Almost surely, 23311004288 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 3311004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413792960).

3311004288 is an abundant number, since it is smaller than the sum of its proper divisors (5516581632).

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

3311004288 is a wasteful number, since it uses less digits than its factorization.

3311004288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32105 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3311004288 is about 57541.3267834519. The cubic root of 3311004288 is about 1490.4585901297.

The spelling of 3311004288 in words is "three billion, three hundred eleven million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 31817 34688 52032 63634 95451 104064 127268 190902 254536 381804 509072 763608 1018144 1527216 2036288 3054432 4072576 6108864 8622407 12217728 17244814 25867221 34489628 51734442 68979256 103468884 137958512 206937768 275917024 413875536 551834048 827751072 1103668096 1655502144 3311004288