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324352423000 = 235315719710487
BaseRepresentation
bin1001011100001001110…
…10010011010001011000
31011000012200022021220201
410232010322103101120
520303233210014000
6405001102031544
732301520051204
oct4560472232130
91130180267821
10324352423000
1111561453a121
1252a40b785b4
132478114bc68
14119ad4b9b04
1586855b696a
hex4b84e93458

324352423000 has 128 divisors (see below), whose sum is σ = 767769425280. Its totient is φ = 128247974400.

The previous prime is 324352422949. The next prime is 324352423013. The reversal of 324352423000 is 324253423.

It is a self number, because there is not a number n which added to its sum of digits gives 324352423000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30923757 + ... + 30934243.

It is an arithmetic number, because the mean of its divisors is an integer number (5998198635).

Almost surely, 2324352423000 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 324352423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383884712640).

324352423000 is an abundant number, since it is smaller than the sum of its proper divisors (443417002280).

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

324352423000 is a wasteful number, since it uses less digits than its factorization.

324352423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 324352423000 its reverse (324253423), we get a palindrome (324676676423).

The spelling of 324352423000 in words is "three hundred twenty-four billion, three hundred fifty-two million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 197 200 250 314 394 500 628 785 788 985 1000 1256 1570 1576 1970 3140 3925 3940 4925 6280 7850 7880 9850 10487 15700 19625 19700 20974 24625 30929 31400 39250 39400 41948 49250 52435 61858 78500 83896 98500 104870 123716 154645 157000 197000 209740 247432 262175 309290 419480 524350 618580 773225 1048700 1237160 1310875 1546450 1646459 2065939 2097400 2621750 3092900 3292918 3866125 4131878 5243500 6185800 6585836 7732250 8232295 8263756 10329695 10487000 13171672 15464500 16464590 16527512 20659390 30929000 32929180 41161475 41318780 51648475 65858360 82322950 82637560 103296950 164645900 205807375 206593900 258242375 324352423 329291800 411614750 413187800 516484750 648704846 823229500 1032969500 1297409692 1621762115 1646459000 2065939000 2594819384 3243524230 6487048460 8108810575 12974096920 16217621150 32435242300 40544052875 64870484600 81088105750 162176211500 324352423000