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3000004524 = 2232118985121
BaseRepresentation
bin1011001011010000…
…0110111110101100
321202002001000112200
42302310012332230
522121000121044
61213404301500
7134225421606
oct26264067654
97662030480
103000004524
1112aa473890
126b8841890
1338a6b660a
14206608176
15128595369
hexb2d06fac

3000004524 has 72 divisors (see below), whose sum is σ = 8365790160. Its totient is φ = 898867200.

The previous prime is 3000004523. The next prime is 3000004531. The reversal of 3000004524 is 4254000003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3000004497 and 3000004506.

It is not an unprimeable number, because it can be changed into a prime (3000004523) 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 23 ways as a sum of consecutive naturals, for example, 7317 + ... + 77804.

It is an arithmetic number, because the mean of its divisors is an integer number (116191530).

Almost surely, 23000004524 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 3000004524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182895080).

3000004524 is an abundant number, since it is smaller than the sum of its proper divisors (5365785636).

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

3000004524 is a wasteful number, since it uses less digits than its factorization.

3000004524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85231 (or 85226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3000004524 is about 54772.2970487819. The cubic root of 3000004524 is about 1442.2502952778.

Adding to 3000004524 its reverse (4254000003), we get a palindrome (7254004527).

The spelling of 3000004524 in words is "three billion, four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 17622 35244 85121 170242 255363 340484 510726 766089 936331 1021452 1532178 1872662 2808993 3064356 3745324 5617986 7575769 8426979 11235972 15151538 16853958 22727307 30303076 33707916 45454614 68181921 83333459 90909228 136363842 166666918 250000377 272727684 333333836 500000754 750001131 1000001508 1500002262 3000004524