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3032242304 = 27721337189
BaseRepresentation
bin1011010010111100…
…0101100010000000
321211022200212110112
42310233011202000
522202223223204
61220515250452
7135066430400
oct26457054200
97738625415
103032242304
111316692583
127075a9a28
13394293020
1420a9da800
1512b31226e
hexb4bc5880

3032242304 has 96 divisors (see below), whose sum is σ = 7567793100. Its totient is φ = 1199536128.

The previous prime is 3032242303. The next prime is 3032242331. The reversal of 3032242304 is 4032422303.

It can be written as a sum of positive squares in 2 ways, for example, as 3030282304 + 1960000 = 55048^2 + 1400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3032242304.

It is not an unprimeable number, because it can be changed into a prime (3032242303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62942 + ... + 100130.

Almost surely, 23032242304 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 3032242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783896550).

3032242304 is an abundant number, since it is smaller than the sum of its proper divisors (4535550796).

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

3032242304 is a wasteful number, since it uses less digits than its factorization.

3032242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37230 (or 37211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3032242304 is about 55065.7997671876. The cubic root of 3032242304 is about 1447.3979976705.

Adding to 3032242304 its reverse (4032422303), we get a palindrome (7064664607).

The spelling of 3032242304 in words is "three billion, thirty-two million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 20384 37189 40768 74378 81536 148756 260323 297512 483457 520646 595024 966914 1041292 1190048 1822261 1933828 2082584 2380096 3384199 3644522 3867656 4165168 4760192 6768398 7289044 7735312 8330336 13536796 14578088 15470624 16660672 23689393 27073592 29156176 30941248 33321344 47378786 54147184 58312352 61882496 94757572 108294368 116624704 189515144 216588736 233249408 379030288 433177472 758060576 1516121152 3032242304