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243087780342 = 23114367219081
BaseRepresentation
bin1110001001100100101…
…0010010100111110110
3212020110012112201022210
43202121022102213312
512440320432432332
6303401210434250
723363641016601
oct3423112224766
9766405481283
10243087780342
1194102795320
123b141732986
1319c0000b7a4
14baa07c5338
1564cb08decc
hex38992929f6

243087780342 has 96 divisors (see below), whose sum is σ = 550957486464. Its totient is φ = 70872278400.

The previous prime is 243087780323. The next prime is 243087780343.

243087780342 is nontrivially palindromic in base 10.

243087780342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243087780291 and 243087780300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243087780343) 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 47 ways as a sum of consecutive naturals, for example, 12730242 + ... + 12749322.

It is an arithmetic number, because the mean of its divisors is an integer number (5739140484).

Almost surely, 2243087780342 is an apocalyptic number.

243087780342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243087780342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275478743232).

243087780342 is an abundant number, since it is smaller than the sum of its proper divisors (307869706122).

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

243087780342 is a wasteful number, since it uses less digits than its factorization.

243087780342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19274 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 243087780342 in words is "two hundred forty-three billion, eighty-seven million, seven hundred eighty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 67 86 129 134 201 258 402 473 737 946 1419 1474 2211 2838 2881 4422 4489 5762 8643 8978 13467 17286 19081 26934 31691 38162 49379 57243 63382 95073 98758 114486 148137 190146 193027 209891 296274 386054 419782 579081 629673 820483 1158162 1259346 1278427 1640966 2123297 2461449 2556854 3835281 4246594 4922898 6369891 7670562 9025313 12739782 14062697 18050626 27075939 28125394 42188091 54151878 54972361 84376182 85654609 109944722 164917083 171309218 256963827 329834166 513927654 604695971 942200699 1209391942 1814087913 1884401398 2826602097 3628175826 3683148187 5653204194 7366296374 11049444561 22098889122 40514630057 81029260114 121543890171 243087780342