Search a number
-
+
3091066968 = 2331122346279
BaseRepresentation
bin1011100000111101…
…1111000001011000
321222102101110201210
42320033133001120
522312303120333
61230420143120
7136412431023
oct27017370130
97872343653
103091066968
111346910400
12723237aa0
133a351b012
142147501ba
15131581a63
hexb83df058

3091066968 has 96 divisors (see below), whose sum is σ = 8863545600. Its totient is φ = 895942080.

The previous prime is 3091066967. The next prime is 3091066999. The reversal of 3091066968 is 8696601903.

3091066968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3091066967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43653 + ... + 89931.

It is an arithmetic number, because the mean of its divisors is an integer number (92328600).

Almost surely, 23091066968 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 3091066968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431772800).

3091066968 is an abundant number, since it is smaller than the sum of its proper divisors (5772478632).

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

3091066968 is a wasteful number, since it uses less digits than its factorization.

3091066968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46333 (or 46318 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3091066968 is about 55597.3647576933. The cubic root of 3091066968 is about 1456.6978236809.

The spelling of 3091066968 in words is "three billion, ninety-one million, sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1452 1518 2024 2783 2904 3036 5566 6072 8349 11132 16698 22264 33396 46279 66792 92558 138837 185116 277674 370232 509069 555348 1018138 1064417 1110696 1527207 2036276 2128834 3054414 3193251 4072552 4257668 5599759 6108828 6386502 8515336 11199518 11708587 12217656 12773004 16799277 22399036 23417174 25546008 33598554 35125761 44798072 46834348 67197108 70251522 93668696 128794457 134394216 140503044 257588914 281006088 386383371 515177828 772766742 1030355656 1545533484 3091066968