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243313106304 = 2731036151727
BaseRepresentation
bin1110001010011010010…
…1110101110110000000
3212021000220112110102210
43202212211311312000
512441301123400204
6303435420142120
723402345164602
oct3424645656600
9767026473383
10243313106304
11942089a6024
123b1a5097940
1319c378c2468
14bac26bb172
1564e0c4c389
hex38a6975d80

243313106304 has 64 divisors (see below), whose sum is σ = 652575306240. Its totient is φ = 80316934656.

The previous prime is 243313106299. The next prime is 243313106321. The reversal of 243313106304 is 403601313342.

243313106304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2433131063043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3036312 + ... + 3115415.

It is an arithmetic number, because the mean of its divisors is an integer number (10196489160).

Almost surely, 2243313106304 is an apocalyptic number.

243313106304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243313106304 is an abundant number, since it is smaller than the sum of its proper divisors (409262199936).

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

243313106304 is a wasteful number, since it uses less digits than its factorization.

243313106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151847 (or 6151835 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 243313106304 its reverse (403601313342), we get a palindrome (646914419646).

The spelling of 243313106304 in words is "two hundred forty-three billion, three hundred thirteen million, one hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 39552 6151727 12303454 18455181 24606908 36910362 49213816 73820724 98427632 147641448 196855264 295282896 393710528 590565792 633627881 787421056 1181131584 1267255762 1900883643 2362263168 2534511524 3801767286 5069023048 7603534572 10138046096 15207069144 20276092192 30414138288 40552184384 60828276576 81104368768 121656553152 243313106304