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243026400 = 25352109929
BaseRepresentation
bin11100111110001…
…00100111100000
3121221022000112210
432133010213200
5444203321100
640040522120
76010455531
oct1637044740
9557260483
10243026400
11115200371
1269480340
133b470506
14243c2688
1516507c50
hexe7c49e0

243026400 has 144 divisors (see below), whose sum is σ = 799167600. Its totient is φ = 64143360.

The previous prime is 243026383. The next prime is 243026401. The reversal of 243026400 is 4620342.

243026400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243026401) 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, 261136 + ... + 262064.

It is an arithmetic number, because the mean of its divisors is an integer number (5549775).

Almost surely, 2243026400 is an apocalyptic number.

243026400 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 243026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399583800).

243026400 is an abundant number, since it is smaller than the sum of its proper divisors (556141200).

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

243026400 is a wasteful number, since it uses less digits than its factorization.

243026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 243026400 is about 15589.3040255170. The cubic root of 243026400 is about 624.0477445388.

Adding to 243026400 its reverse (4620342), we get a palindrome (247646742).

The spelling of 243026400 in words is "two hundred forty-three million, twenty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 109 120 150 160 200 218 240 300 327 400 436 480 545 600 654 800 872 929 1090 1200 1308 1635 1744 1858 2180 2400 2616 2725 2787 3270 3488 3716 4360 4645 5232 5450 5574 6540 7432 8175 8720 9290 10464 10900 11148 13080 13935 14864 16350 17440 18580 21800 22296 23225 26160 27870 29728 32700 37160 43600 44592 46450 52320 55740 65400 69675 74320 87200 89184 92900 101261 111480 130800 139350 148640 185800 202522 222960 261600 278700 303783 371600 405044 445920 506305 557400 607566 743200 810088 1012610 1114800 1215132 1518915 1620176 2025220 2229600 2430264 2531525 3037830 3240352 4050440 4860528 5063050 6075660 7594575 8100880 9721056 10126100 12151320 15189150 16201760 20252200 24302640 30378300 40504400 48605280 60756600 81008800 121513200 243026400