Search a number
-
+
3012690940 = 225743895623
BaseRepresentation
bin1011001110010010…
…0000001111111100
321202221220120000221
42303210200033330
522132222102230
61214540231124
7134441310340
oct26344401774
97687816027
103012690940
111306649326
12700b3b4a4
13390208b7c
1420818b620
1512974e27a
hexb39203fc

3012690940 has 96 divisors (see below), whose sum is σ = 7483069440. Its totient is φ = 997387776.

The previous prime is 3012690931. The next prime is 3012690953. The reversal of 3012690940 is 490962103.

3012690940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3012690896 and 3012690905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532969 + ... + 538591.

It is an arithmetic number, because the mean of its divisors is an integer number (77948640).

Almost surely, 23012690940 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 3012690940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741534720).

3012690940 is an abundant number, since it is smaller than the sum of its proper divisors (4470378500).

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

3012690940 is a wasteful number, since it uses less digits than its factorization.

3012690940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 3012690940 is about 54887.9853884254. The cubic root of 3012690940 is about 1444.2804317961.

The spelling of 3012690940 in words is "three billion, twelve million, six hundred ninety thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 89 140 172 178 215 301 356 430 445 602 623 860 890 1204 1246 1505 1780 2492 3010 3115 3827 5623 6020 6230 7654 11246 12460 15308 19135 22492 26789 28115 38270 39361 53578 56230 76540 78722 107156 112460 133945 157444 196805 241789 267890 393610 483578 500447 535780 787220 967156 1000894 1208945 1692523 2001788 2417890 2502235 3385046 3503129 4835780 5004470 6770092 7006258 8462615 10008940 14012516 16925230 17515645 21519221 33850460 35031290 43038442 70062580 86076884 107596105 150634547 215192210 301269094 430384420 602538188 753172735 1506345470 3012690940