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3311841168 = 2436283937
BaseRepresentation
bin1100010101100110…
…1010111110010000
322112210210222000000
43011121222332100
523240312404133
61304344130000
7145033120416
oct30531527620
98483728000
103311841168
11144a4a2319
12785166900
1340a199c3c
14235bbd2b6
15145b41413
hexc566af90

3311841168 has 70 divisors (see below), whose sum is σ = 9620671254. Its totient is φ = 1103943168.

The previous prime is 3311841161. The next prime is 3311841191. The reversal of 3311841168 is 8611481133.

3311841168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3264065424 + 47775744 = 57132^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3311841161) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 130305 + ... + 153632.

Almost surely, 23311841168 is an apocalyptic number.

It is an amenable number.

3311841168 is an abundant number, since it is smaller than the sum of its proper divisors (6308830086).

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

3311841168 is an equidigital number, since it uses as much as digits as its factorization.

3311841168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283963 (or 283942 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 3311841168 is about 57548.5983148156. The cubic root of 3311841168 is about 1490.5841542385.

The spelling of 3311841168 in words is "three billion, three hundred eleven million, eight hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 283937 567874 851811 1135748 1703622 2271496 2555433 3407244 4542992 5110866 6814488 7666299 10221732 13628976 15332598 20443464 22998897 30665196 40886928 45997794 61330392 68996691 91995588 122660784 137993382 183991176 206990073 275986764 367982352 413980146 551973528 827960292 1103947056 1655920584 3311841168