Search a number
-
+
3004122411 = 341759103359
BaseRepresentation
bin1011001100001111…
…0100010100101011
321202100210020020000
42303003310110223
522123023404121
61214032434043
7134305422243
oct26303642453
97670706200
103004122411
1113018266a4
126ba0a8923
1338b4c8a34
14206d9ab23
15128b0a526
hexb30f452b

3004122411 has 80 divisors (see below), whose sum is σ = 4892659200. Its totient is φ = 1829889792.

The previous prime is 3004122409. The next prime is 3004122421. The reversal of 3004122411 is 1142214003.

3004122411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3004122411 - 21 = 3004122409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3004122421) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8367850 + ... + 8368208.

It is an arithmetic number, because the mean of its divisors is an integer number (61158240).

Almost surely, 23004122411 is an apocalyptic number.

3004122411 is a deficient number, since it is larger than the sum of its proper divisors (1888536789).

3004122411 is a wasteful number, since it uses less digits than its factorization.

3004122411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3004122411 is about 54809.8751230105. The cubic root of 3004122411 is about 1442.9098841118.

Adding to 3004122411 its reverse (1142214003), we get a palindrome (4146336414).

The spelling of 3004122411 in words is "three billion, four million, one hundred twenty-two thousand, four hundred eleven".

Divisors: 1 3 9 17 27 51 59 81 103 153 177 309 359 459 531 927 1003 1077 1377 1593 1751 2781 3009 3231 4779 5253 6077 6103 8343 9027 9693 15759 18231 18309 21181 27081 29079 36977 47277 54693 54927 63543 81243 103309 110931 141831 164079 164781 190629 309927 332793 360077 492237 494343 571887 628609 929781 998379 1080231 1715661 1885827 2181643 2789343 2995137 3240693 5657481 6544929 8368029 9722079 16972443 19634787 29166237 37087931 50917329 58904361 111263793 176713083 333791379 1001374137 3004122411