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1328241904 = 2411234153151
BaseRepresentation
bin100111100101011…
…0101110011110000
310102120022200100121
41033022311303300
510210012220104
6335444500024
744625604243
oct11712656360
93376280317
101328241904
11621837890
123109aa614
13182245972
14c859325a
157b91d254
hex4f2b5cf0

1328241904 has 160 divisors (see below), whose sum is σ = 3077803008. Its totient is φ = 549120000.

The previous prime is 1328241793. The next prime is 1328241913. The reversal of 1328241904 is 4091428231.

It is a self number, because there is not a number n which added to its sum of digits gives 1328241904.

It is a congruent number.

It is an unprimeable number.

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, 8796229 + ... + 8796379.

Almost surely, 21328241904 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 1328241904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538901504).

1328241904 is an abundant number, since it is smaller than the sum of its proper divisors (1749561104).

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

1328241904 is a wasteful number, since it uses less digits than its factorization.

1328241904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1328241904 is about 36445.0532171377. The cubic root of 1328241904 is about 1099.2396685114.

The spelling of 1328241904 in words is "one billion, three hundred twenty-eight million, two hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 23 41 44 46 53 82 88 92 106 151 164 176 184 212 253 302 328 368 424 451 506 583 604 656 848 902 943 1012 1166 1208 1219 1661 1804 1886 2024 2173 2332 2416 2438 3322 3473 3608 3772 4048 4346 4664 4876 6191 6644 6946 7216 7544 8003 8692 9328 9752 10373 12382 13288 13409 13892 15088 16006 17384 19504 20746 23903 24764 26576 26818 27784 32012 34768 38203 41492 47806 49528 49979 53636 55568 64024 68101 76406 82984 88033 95612 99056 99958 107272 128048 136202 142393 152812 165968 176066 184069 191224 199916 214544 272404 284786 305624 328123 352132 368138 382448 399832 544808 549769 569572 611248 656246 704264 736276 799664 1089616 1099538 1139144 1312492 1408528 1472552 1566323 2024759 2199076 2278288 2624984 2945104 3132646 3609353 4049518 4398152 5249968 6265292 7218706 7546829 8099036 8796304 12530584 14437412 15093658 16198072 25061168 28874824 30187316 32396144 57749648 60374632 83015119 120749264 166030238 332060476 664120952 1328241904