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3044430444 = 2231143599091
BaseRepresentation
bin1011010101110110…
…0101001001101100
321212011122002110010
42311131211021230
522213333233234
61222032413220
7135305142336
oct26535451154
97764562403
103044430444
111322557720
1270b6a7210
1339696c843
1420c490456
1512c41d6e9
hexb576526c

3044430444 has 96 divisors (see below), whose sum is σ = 8064967680. Its totient is φ = 885729600.

The previous prime is 3044430421. The next prime is 3044430449. The reversal of 3044430444 is 4440344403.

It is not an unprimeable number, because it can be changed into a prime (3044430449) 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 31 ways as a sum of consecutive naturals, for example, 330339 + ... + 339429.

It is an arithmetic number, because the mean of its divisors is an integer number (84010080).

Almost surely, 23044430444 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 3044430444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032483840).

3044430444 is an abundant number, since it is smaller than the sum of its proper divisors (5020537236).

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

3044430444 is a wasteful number, since it uses less digits than its factorization.

3044430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3044430444 is about 55176.3576543432. The cubic root of 3044430444 is about 1449.3346839138.

Adding to 3044430444 its reverse (4440344403), we get a palindrome (7484774847).

The spelling of 3044430444 in words is "three billion, forty-four million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 59 66 86 118 129 132 172 177 236 258 354 473 516 649 708 946 1298 1419 1892 1947 2537 2596 2838 3894 5074 5676 7611 7788 9091 10148 15222 18182 27273 27907 30444 36364 54546 55814 83721 100001 109092 111628 167442 200002 300003 334884 390913 400004 536369 600006 781826 1072738 1172739 1200012 1563652 1609107 2145476 2345478 3218214 4300043 4690956 5900059 6436428 8600086 11800118 12900129 17200172 17700177 23063867 23600236 25800258 35400354 46127734 51600516 69191601 70800708 92255468 138383202 253702537 276766404 507405074 761107611 1014810148 1522215222 3044430444