Search a number
-
+
404340043332 = 2232321732831301
BaseRepresentation
bin1011110001001001000…
…10110110111001000100
31102122200011010102012110
411320210202312321010
523111042022341312
6505430134221020
741132631442401
oct5704442667104
91378604112173
10404340043332
11146530460175
12664447b4770
132c18a83b014
14157da7512a8
15a7b793c43c
hex5e248b6e44

404340043332 has 144 divisors (see below), whose sum is σ = 996234861888. Its totient is φ = 127623724800.

The previous prime is 404340043301. The next prime is 404340043337. The reversal of 404340043332 is 233340043404.

It is a self number, because there is not a number n which added to its sum of digits gives 404340043332.

It is not an unprimeable number, because it can be changed into a prime (404340043337) 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, 310791082 + ... + 310792382.

It is an arithmetic number, because the mean of its divisors is an integer number (6918297652).

Almost surely, 2404340043332 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 404340043332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498117430944).

404340043332 is an abundant number, since it is smaller than the sum of its proper divisors (591894818556).

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

404340043332 is a wasteful number, since it uses less digits than its factorization.

404340043332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 404340043332 its reverse (233340043404), we get a palindrome (637680086736).

The spelling of 404340043332 in words is "four hundred four billion, three hundred forty million, forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 173 276 283 346 519 529 566 692 849 1038 1058 1132 1301 1587 1698 2076 2116 2602 3174 3396 3903 3979 5204 6348 6509 7806 7958 11937 13018 15612 15916 19527 23874 26036 29923 39054 47748 48959 59846 78108 89769 91517 97918 119692 146877 149707 179538 183034 195836 225073 274551 293754 299414 359076 366068 368183 449121 450146 549102 587508 598828 675219 688229 736366 898242 900292 1098204 1104549 1126057 1350438 1376458 1472732 1796484 2064687 2209098 2252114 2700876 2752916 3378171 4129374 4418196 4504228 5176679 6756342 8258748 8468209 10353358 13512684 15530037 16936418 20706716 25404627 25899311 31060074 33872836 50809254 51798622 62120148 63695659 77697933 101618508 103597244 119063617 127391318 155395866 191086977 194768807 238127234 254782636 310791732 357190851 382173954 389537614 476254468 584306421 714381702 764347908 779075228 1168612842 1428763404 1465000157 2337225684 2930000314 4395000471 5860000628 8790000942 17580001884 33695003611 67390007222 101085010833 134780014444 202170021666 404340043332