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243034400304 = 243223910516719
BaseRepresentation
bin1110001001010111111…
…0101010011000110000
3212020022111002201200100
43202111332222120300
512440213301302204
6303352022352400
723362422213633
oct3422576523060
9766274081610
10243034400304
1194085646093
123b12788b700
1319bc1c3ba77
14ba9768bc1a
1564c6547a39
hex3895faa630

243034400304 has 120 divisors (see below), whose sum is σ = 683756236800. Its totient is φ = 80583753600.

The previous prime is 243034400267. The next prime is 243034400309. The reversal of 243034400304 is 403004430342.

243034400304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2430344003042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243034400309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36167857 + ... + 36174575.

It is an arithmetic number, because the mean of its divisors is an integer number (5697968640).

Almost surely, 2243034400304 is an apocalyptic number.

243034400304 is a gapful number since it is divisible by the number (24) 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 243034400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341878118400).

243034400304 is an abundant number, since it is smaller than the sum of its proper divisors (440721836496).

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

243034400304 is a wasteful number, since it uses less digits than its factorization.

243034400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 243034400304 its reverse (403004430342), we get a palindrome (646038830646).

The spelling of 243034400304 in words is "two hundred forty-three billion, thirty-four million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1051 1434 1912 2102 2151 2868 3153 3824 4204 4302 5736 6306 6719 8408 8604 9459 11472 12612 13438 16816 17208 18918 20157 25224 26876 34416 37836 40314 50448 53752 60471 75672 80628 107504 120942 151344 161256 241884 251189 322512 483768 502378 753567 967536 1004756 1507134 1605841 2009512 2260701 3014268 3211682 4019024 4521402 4817523 6028536 6423364 7061669 9042804 9635046 12057072 12846728 14123338 14452569 18085608 19270092 21185007 25693456 28246676 28905138 36171216 38540184 42370014 56493352 57810276 63555021 77080368 84740028 112986704 115620552 127110042 169480056 231241104 254220084 338960112 508440168 1016880336 1687738891 3375477782 5063216673 6750955564 10126433346 13501911128 15189650019 20252866692 27003822256 30379300038 40505733384 60758600076 81011466768 121517200152 243034400304