Search a number
-
+
321054301404 = 223311356346727
BaseRepresentation
bin1001010110000000101…
…00111101110011011100
31010200200211022100122000
410223000110331303130
520230004400121104
6403253523522300
732124011351304
oct4530024756334
91120624270560
10321054301404
111141818685a1
1252280529390
1324376a76915
141177946c604
158540c85639
hex4ac053dcdc

321054301404 has 96 divisors (see below), whose sum is σ = 841238576640. Its totient is φ = 105880368384.

The previous prime is 321054301339. The next prime is 321054301457. The reversal of 321054301404 is 404103450123.

It is a happy number.

321054301404 is a `hidden beast` number, since 3 + 210 + 5 + 43 + 0 + 1 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6847489 + ... + 6894215.

It is an arithmetic number, because the mean of its divisors is an integer number (8762901840).

Almost surely, 2321054301404 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 321054301404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420619288320).

321054301404 is an abundant number, since it is smaller than the sum of its proper divisors (520184275236).

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

321054301404 is a wasteful number, since it uses less digits than its factorization.

321054301404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47416 (or 47408 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 321054301404 its reverse (404103450123), we get a palindrome (725157751527).

The spelling of 321054301404 in words is "three hundred twenty-one billion, fifty-four million, three hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 563 678 1017 1126 1356 1689 2034 2252 3051 3378 4068 5067 6102 6756 10134 12204 15201 20268 30402 46727 60804 63619 93454 127238 140181 186908 190857 254476 280362 381714 420543 560724 572571 763428 841086 1145142 1261629 1682172 1717713 2290284 2523258 3435426 5046516 5280151 6870852 10560302 15840453 21120604 26307301 31680906 47521359 52614602 63361812 78921903 95042718 105229204 142564077 157843806 190085436 236765709 285128154 315687612 473531418 570256308 710297127 947062836 1420594254 2841188508 2972725013 5945450026 8918175039 11890900052 17836350078 26754525117 35672700156 53509050234 80263575351 107018100468 160527150702 321054301404