Search a number
-
+
324411122304 = 2734120126053
BaseRepresentation
bin1001011100010000110…
…10001110001010000000
31011000100202202112020000
410232020122032022000
520303343221403204
6405011000120000
732303132020203
oct4561032161200
91130322675200
10324411122304
11115644691845
1252a58766000
1324790361b89
14119b71d993a
15868a80e039
hex4b8868e280

324411122304 has 160 divisors (see below), whose sum is σ = 966283196340. Its totient is φ = 108042854400.

The previous prime is 324411122279. The next prime is 324411122323. The reversal of 324411122304 is 403221114423.

324411122304 is a `hidden beast` number, since 3 + 2 + 4 + 411 + 12 + 230 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313376040000 + 11035082304 = 559800^2 + 105048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12438942 + ... + 12464994.

Almost surely, 2324411122304 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 324411122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483141598170).

324411122304 is an abundant number, since it is smaller than the sum of its proper divisors (641872074036).

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

324411122304 is a wasteful number, since it uses less digits than its factorization.

324411122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27280 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 324411122304 its reverse (403221114423), we get a palindrome (727632236727).

The spelling of 324411122304 in words is "three hundred twenty-four billion, four hundred eleven million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1201 1296 1728 2402 2592 3456 3603 4804 5184 7206 9608 10368 10809 14412 19216 21618 26053 28824 32427 38432 43236 52106 57648 64854 76864 78159 86472 97281 104212 115296 129708 153728 156318 172944 194562 208424 230592 234477 259416 312636 345888 389124 416848 461184 468954 518832 625272 691776 703431 778248 833696 937908 1037664 1250544 1383552 1406862 1556496 1667392 1875816 2075328 2110293 2501088 2813724 3112992 3334784 3751632 4150656 4220586 5002176 5627448 6225984 7503264 8441172 10004352 11254896 12451968 15006528 16882344 22509792 30013056 31289653 33764688 45019584 62579306 67529376 90039168 93868959 125158612 135058752 187737918 250317224 270117504 281606877 375475836 500634448 563213754 750951672 844820631 1001268896 1126427508 1501903344 1689641262 2002537792 2252855016 2534461893 3003806688 3379282524 4005075584 4505710032 5068923786 6007613376 6758565048 9011420064 10137847572 12015226752 13517130096 18022840128 20275695144 27034260192 36045680256 40551390288 54068520384 81102780576 108137040768 162205561152 324411122304