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324440114200 = 235217107891809
BaseRepresentation
bin1001011100010100010…
…00110100010000011000
31011000102210022110121221
410232022020310100120
520303423132123300
6405013513341424
732303633316526
oct4561210642030
91130383273557
10324440114200
11115659a93894
1252a66407874
1324796373047
14119badc5316
15868d13931a
hex4b8a234418

324440114200 has 96 divisors (see below), whose sum is σ = 806160567600. Its totient is φ = 121000509440.

The previous prime is 324440114179. The next prime is 324440114209. The reversal of 324440114200 is 2411044423.

It is a super-2 number, since 2×3244401142002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324440114209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82105 + ... + 809704.

Almost surely, 2324440114200 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 324440114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403080283800).

324440114200 is an abundant number, since it is smaller than the sum of its proper divisors (481720453400).

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

324440114200 is a wasteful number, since it uses less digits than its factorization.

324440114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891949 (or 891940 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 324440114200 its reverse (2411044423), we get a palindrome (326851158623).

The spelling of 324440114200 in words is "three hundred twenty-four billion, four hundred forty million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 107 136 170 200 214 340 425 428 535 680 850 856 1070 1700 1819 2140 2675 3400 3638 4280 5350 7276 9095 10700 14552 18190 21400 36380 45475 72760 90950 181900 363800 891809 1783618 3567236 4459045 7134472 8918090 15160753 17836180 22295225 30321506 35672360 44590450 60643012 75803765 89180900 95423563 121286024 151607530 178361800 190847126 303215060 379018825 381694252 477117815 606430120 758037650 763388504 954235630 1516075300 1622200571 1908471260 2385589075 3032150600 3244401142 3816942520 4771178150 6488802284 8111002855 9542356300 12977604568 16222005710 19084712600 32444011420 40555014275 64888022840 81110028550 162220057100 324440114200