Search a number
-
+
404821068 = 2231719223239
BaseRepresentation
bin11000001000010…
…001010001001100
31001012202001002220
4120020101101030
51312113233233
6104100415340
713013631231
oct3010212114
91035661086
10404821068
11198569073
12b36a7550
1365b3bac2
143ba9b788
1525816eb3
hex1821144c

404821068 has 144 divisors (see below), whose sum is σ = 1106058240. Its totient is φ = 114605568.

The previous prime is 404821057. The next prime is 404821069. The reversal of 404821068 is 860128404.

It is not an unprimeable number, because it can be changed into a prime (404821069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693693 + ... + 1693931.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2404821068 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 404821068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

404821068 is an abundant number, since it is smaller than the sum of its proper divisors (701237172).

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

404821068 is a wasteful number, since it uses less digits than its factorization.

404821068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 404821068 is about 20120.1657050830. The cubic root of 404821068 is about 739.7546471726.

The spelling of 404821068 in words is "four hundred four million, eight hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 19 23 34 38 46 51 57 68 69 76 92 102 114 138 204 228 239 276 323 361 391 437 478 646 717 722 782 874 956 969 1083 1173 1292 1311 1434 1444 1564 1748 1938 2166 2346 2622 2868 3876 4063 4332 4541 4692 5244 5497 6137 7429 8126 8303 9082 10994 12189 12274 13623 14858 16252 16491 16606 18164 18411 21988 22287 24378 24548 24909 27246 29716 32982 33212 36822 44574 48756 49818 54492 65964 73644 77197 86279 89148 93449 99636 104443 141151 154394 172558 186898 208886 231591 258837 280347 282302 308788 313329 345116 373796 417772 423453 463182 517674 560694 564604 626658 846906 926364 1035348 1121388 1253316 1466743 1693812 1775531 1984417 2933486 3551062 3968834 4400229 5326593 5866972 5953251 7102124 7937668 8800458 10653186 11906502 17600916 21306372 23813004 33735089 67470178 101205267 134940356 202410534 404821068