Search a number
-
+
3011294676 = 2231373269983
BaseRepresentation
bin1011001101111100…
…1011010111010100
321202212021121201110
42303133023113110
522131342412201
61214450255020
7134423403525
oct26337132724
97685247643
103011294676
111305885295
12700587470
1338cb3a490
14207d0684c
151295756d6
hexb37cb5d4

3011294676 has 96 divisors (see below), whose sum is σ = 7706845440. Its totient is φ = 909536256.

The previous prime is 3011294633. The next prime is 3011294683. The reversal of 3011294676 is 6764921103.

It is a super-3 number, since 3×30112946763 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3062881 + ... + 3063863.

It is an arithmetic number, because the mean of its divisors is an integer number (80279640).

Almost surely, 23011294676 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 3011294676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853422720).

3011294676 is an abundant number, since it is smaller than the sum of its proper divisors (4695550764).

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

3011294676 is a wasteful number, since it uses less digits than its factorization.

3011294676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3011294676 is about 54875.2647009561. The cubic root of 3011294676 is about 1444.0572748874.

The spelling of 3011294676 in words is "three billion, eleven million, two hundred ninety-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 269 292 438 538 807 876 949 983 1076 1614 1898 1966 2847 2949 3228 3497 3796 3932 5694 5898 6994 10491 11388 11796 12779 13988 19637 20982 25558 38337 39274 41964 51116 58911 71759 76674 78548 117822 143518 153348 215277 235644 255281 264427 287036 430554 510562 528854 765843 793281 861108 932867 1021124 1057708 1531686 1586562 1865734 2798601 3063372 3173124 3437551 3731468 5597202 6875102 10312653 11194404 13750204 19303171 20625306 38606342 41250612 57909513 77212684 115819026 231638052 250941223 501882446 752823669 1003764892 1505647338 3011294676