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230304310340 = 225133731775521
BaseRepresentation
bin1101011001111100110…
…1001110010001000100
3211000110022012011011212
43112133031032101010
512233130400412330
6253444512350552
722432104224006
oct3263715162104
9730408164155
10230304310340
1189742863085
1238774545458
1318943760c60
14b20ab02376
155ecdb5e295
hex359f34e444

230304310340 has 96 divisors (see below), whose sum is σ = 536613414624. Its totient is φ = 82475089920.

The previous prime is 230304310339. The next prime is 230304310403. The reversal of 230304310340 is 43013403032.

230304310340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 82528649284 + 147775661056 = 287278^2 + 384416^2 .

It is a super-2 number, since 2×2303043103402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3011780 + ... + 3087300.

It is an arithmetic number, because the mean of its divisors is an integer number (5589723069).

Almost surely, 2230304310340 is an apocalyptic number.

230304310340 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 230304310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268306707312).

230304310340 is an abundant number, since it is smaller than the sum of its proper divisors (306309104284).

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

230304310340 is a wasteful number, since it uses less digits than its factorization.

230304310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75897 (or 75895 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 230304310340 its reverse (43013403032), we get a palindrome (273317713372).

The spelling of 230304310340 in words is "two hundred thirty billion, three hundred four million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 317 370 481 634 740 962 1268 1585 1924 2405 3170 4121 4810 6340 8242 9620 11729 16484 20605 23458 41210 46916 58645 75521 82420 117290 151042 152477 234580 302084 304954 377605 609908 755210 762385 981773 1510420 1524770 1963546 2794277 3049540 3927092 4908865 5588554 9817730 11177108 13971385 19635460 23940157 27942770 36325601 47880314 55885540 72651202 95760628 119700785 145302404 181628005 239401570 311222041 363256010 478803140 622444082 726512020 885785809 1244888164 1556110205 1771571618 3112220410 3543143236 4428929045 6224440820 8857858090 11515215517 17715716180 23030431034 46060862068 57576077585 115152155170 230304310340