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1444439304 = 233471128949
BaseRepresentation
bin101011000011000…
…0110010100001000
310201122222010020000
41112012012110020
510424234024204
6355155203000
750536350210
oct12606062410
93648863200
101444439304
116813916a0
123438a6460
131a033ab19
14d9b9d240
1586c22039
hex56186508

1444439304 has 160 divisors (see below), whose sum is σ = 5044248000. Its totient is φ = 375166080.

The previous prime is 1444439303. The next prime is 1444439309. The reversal of 1444439304 is 4039344441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1444439303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35422 + ... + 64370.

It is an arithmetic number, because the mean of its divisors is an integer number (31526550).

Almost surely, 21444439304 is an apocalyptic number.

1444439304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444439304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522124000).

1444439304 is an abundant number, since it is smaller than the sum of its proper divisors (3599808696).

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

1444439304 is a wasteful number, since it uses less digits than its factorization.

1444439304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985 (or 28972 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1444439304 is about 38005.7798762241. The cubic root of 1444439304 is about 1130.4024733877.

The spelling of 1444439304 in words is "one billion, four hundred forty-four million, four hundred thirty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 7128 8316 12474 16632 24948 28949 49896 57898 86847 115796 173694 202643 231592 260541 318439 347388 405286 521082 607929 636878 694776 781623 810572 955317 1042164 1215858 1273756 1563246 1621144 1823787 1910634 2084328 2229073 2344869 2431716 2547512 2865951 3126492 3647574 3821268 4458146 4689738 4863432 5471361 5731902 6252984 6687219 7295148 7642536 8597853 8916292 9379476 10942722 11463804 13374438 14590296 16414083 17195706 17832584 18758952 20061657 21885444 22927608 25793559 26748876 32828166 34391412 40123314 43770888 51587118 53497752 60184971 65656332 68782824 80246628 103174236 120369942 131312664 160493256 180554913 206348472 240739884 361109826 481479768 722219652 1444439304