Search a number
-
+
321394210536 = 23372995369221
BaseRepresentation
bin1001010110101001001…
…01100111011011101000
31010201120111220112022010
410223110211213123220
520231203404214121
6403351345155520
732135306500110
oct4532445473350
91121514815263
10321394210536
11114336720333
125235632bba0
13243cc308a99
14117ac670040
158560a29376
hex4ad49676e8

321394210536 has 128 divisors (see below), whose sum is σ = 950944147200. Its totient is φ = 88566159360.

The previous prime is 321394210531. The next prime is 321394210601. The reversal of 321394210536 is 635012493123.

It is a junction number, because it is equal to n+sod(n) for n = 321394210494 and 321394210503.

It is not an unprimeable number, because it can be changed into a prime (321394210531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4608406 + ... + 4677626.

It is an arithmetic number, because the mean of its divisors is an integer number (7429251150).

Almost surely, 2321394210536 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 321394210536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475472073600).

321394210536 is an abundant number, since it is smaller than the sum of its proper divisors (629549936664).

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

321394210536 is a wasteful number, since it uses less digits than its factorization.

321394210536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70219 (or 70215 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 321394210536 in words is "three hundred twenty-one billion, three hundred ninety-four million, two hundred ten thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 953 1218 1624 1906 2436 2859 3812 4872 5718 6671 7624 11436 13342 20013 22872 26684 27637 40026 53368 55274 69221 80052 82911 110548 138442 160104 165822 193459 207663 221096 276884 331644 386918 415326 484547 553768 580377 663288 773836 830652 969094 1160754 1453641 1547672 1661304 1938188 2007409 2321508 2907282 3876376 4014818 4643016 5814564 6022227 8029636 11629128 12044454 14051863 16059272 24088908 28103726 42155589 48177816 56207452 65967613 84311178 112414904 131935226 168622356 197902839 263870452 337244712 395805678 461773291 527740904 791611356 923546582 1385319873 1583222712 1847093164 1913060777 2770639746 3694186328 3826121554 5541279492 5739182331 7652243108 11082558984 11478364662 13391425439 15304486216 22956729324 26782850878 40174276317 45913458648 53565701756 80348552634 107131403512 160697105268 321394210536