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322348054340 = 2251343157118353
BaseRepresentation
bin1001011000011010111…
…00001111011101000100
31010211000222201211000102
410230031130033131010
520240132100214330
6404030141303232
732201041152614
oct4541534173504
91124028654012
10322348054340
111147860892a4
1252581864b18
1324521b052c0
141185d204a44
1585b963e945
hex4b0d70f744

322348054340 has 96 divisors (see below), whose sum is σ = 746471569536. Its totient is φ = 116172564480.

The previous prime is 322348054319. The next prime is 322348054433. The reversal of 322348054340 is 43450843223.

It is a junction number, because it is equal to n+sod(n) for n = 322348054294 and 322348054303.

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, 17554604 + ... + 17572956.

It is an arithmetic number, because the mean of its divisors is an integer number (7775745516).

Almost surely, 2322348054340 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 322348054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373235784768).

322348054340 is an abundant number, since it is smaller than the sum of its proper divisors (424123515196).

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

322348054340 is a wasteful number, since it uses less digits than its factorization.

322348054340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19989 (or 19987 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 322348054340 its reverse (43450843223), we get a palindrome (365798897563).

The spelling of 322348054340 in words is "three hundred twenty-two billion, three hundred forty-eight million, fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 1571 2236 2795 3142 5590 6284 7855 11180 15710 18353 20423 31420 36706 40846 67553 73412 81692 91765 102115 135106 183530 204230 238589 270212 337765 367060 408460 477178 675530 789179 878189 954356 1192945 1351060 1578358 1756378 2385890 3156716 3512756 3945895 4390945 4771780 7891790 8781890 10259327 15783580 17563780 20518654 28832563 41037308 51296635 57665126 102593270 115330252 144162815 205186540 288325630 374823319 576651260 749646638 1239800209 1499293276 1874116595 2479600418 3748233190 4959200836 6199001045 7496466380 12398002090 16117402717 24796004180 32234805434 64469610868 80587013585 161174027170 322348054340