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243021400 = 235219312063
BaseRepresentation
bin11100111110000…
…11011001011000
3121221021202200121
432133003121120
5444203141100
640040443024
76010435126
oct1637033130
9557252617
10243021400
111151a7636
1269479474
133b46b15b
14243c0916
151650651a
hexe7c3658

243021400 has 96 divisors (see below), whose sum is σ = 614246400. Its totient is φ = 89078400.

The previous prime is 243021397. The next prime is 243021403. The reversal of 243021400 is 4120342.

It is an interprime number because it is at equal distance from previous prime (243021397) and next prime (243021403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243021403) 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, 116769 + ... + 118831.

It is an arithmetic number, because the mean of its divisors is an integer number (6398400).

Almost surely, 2243021400 is an apocalyptic number.

243021400 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 243021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307123200).

243021400 is an abundant number, since it is smaller than the sum of its proper divisors (371225000).

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

243021400 is a wasteful number, since it uses less digits than its factorization.

243021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 243021400 is about 15589.1436583284. The cubic root of 243021400 is about 624.0434648115.

Adding to 243021400 its reverse (4120342), we get a palindrome (247141742).

The spelling of 243021400 in words is "two hundred forty-three million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2063 2356 2945 3100 3800 4126 4712 5890 6200 8252 10315 11780 14725 16504 20630 23560 29450 39197 41260 51575 58900 63953 78394 82520 103150 117800 127906 156788 195985 206300 255812 313576 319765 391970 412600 511624 639530 783940 979925 1215107 1279060 1567880 1598825 1959850 2430214 2558120 3197650 3919700 4860428 6075535 6395300 7839400 9720856 12151070 12790600 24302140 30377675 48604280 60755350 121510700 243021400