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3117328668 = 2232292985947
BaseRepresentation
bin1011100111001110…
…1010100100011100
322001020210201000100
42321303222210130
522341014004133
61233155101100
7140151566526
oct27163524434
98036721010
103117328668
11135a718193
1272bba1790
133a8ab459c
14218028a16
15133a1ce13
hexb9cea91c

3117328668 has 36 divisors (see below), whose sum is σ = 8151638040. Its totient is φ = 1003277856.

The previous prime is 3117328663. The next prime is 3117328717. The reversal of 3117328668 is 8668237113.

3117328668 is a `hidden beast` number, since 311 + 7 + 328 + 6 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117328663) 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 11 ways as a sum of consecutive naturals, for example, 1491930 + ... + 1494017.

It is an arithmetic number, because the mean of its divisors is an integer number (226434390).

Almost surely, 23117328668 is an apocalyptic number.

It is an amenable number.

3117328668 is an abundant number, since it is smaller than the sum of its proper divisors (5034309372).

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

3117328668 is a wasteful number, since it uses less digits than its factorization.

3117328668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985986 (or 2985981 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3117328668 is about 55833.0427972540. The cubic root of 3117328668 is about 1460.8115629335.

It can be divided in two parts, 311732 and 8668, that added together give a triangular number (320400 = T800).

The spelling of 3117328668 in words is "three billion, one hundred seventeen million, three hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2985947 5971894 8957841 11943788 17915682 26873523 35831364 53747046 86592463 107494092 173184926 259777389 346369852 519554778 779332167 1039109556 1558664334 3117328668