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243238020 = 2235127137233
BaseRepresentation
bin11100111111110…
…00010010000100
3121221200202211120
432133320102010
5444232104040
640045233540
76012326514
oct1637702204
9557622746
10243238020
11115335363
12695628b0
133b51592c
1424439844
151654a7d0
hexe7f8484

243238020 has 96 divisors (see below), whose sum is σ = 694407168. Its totient is φ = 63608832.

The previous prime is 243238013. The next prime is 243238027. The reversal of 243238020 is 20832342.

243238020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243238013) and next prime (243238027).

It is a super-3 number, since 3×2432380203 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (243238027) 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, 1043824 + ... + 1044056.

It is an arithmetic number, because the mean of its divisors is an integer number (7233408).

Almost surely, 2243238020 is an apocalyptic number.

243238020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243238020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347203584).

243238020 is an abundant number, since it is smaller than the sum of its proper divisors (451169148).

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

243238020 is a wasteful number, since it uses less digits than its factorization.

243238020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 243238020 is about 15596.0898945858. The cubic root of 243238020 is about 624.2288259229.

The spelling of 243238020 in words is "two hundred forty-three million, two hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 137 233 254 274 381 411 466 508 548 635 685 699 762 822 932 1165 1270 1370 1398 1524 1644 1905 2055 2330 2540 2740 2796 3495 3810 4110 4660 6990 7620 8220 13980 17399 29591 31921 34798 52197 59182 63842 69596 86995 88773 95763 104394 118364 127684 147955 159605 173990 177546 191526 208788 260985 295910 319210 347980 355092 383052 443865 478815 521970 591820 638420 887730 957630 1043940 1775460 1915260 4053967 8107934 12161901 16215868 20269835 24323802 40539670 48647604 60809505 81079340 121619010 243238020