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230330312334 = 232177310311143
BaseRepresentation
bin1101011010000011000…
…0011010011010001110
3211000112010010012012200
43112200300122122032
512233204024443314
6253451241542330
722432541231403
oct3264060323216
9730463105180
10230330312334
1189756502831
12387811a49a6
1318948c66255
14b2103502aa
155ed1098709
hex35a0c1a68e

230330312334 has 48 divisors (see below), whose sum is σ = 535643308512. Its totient is φ = 71270613504.

The previous prime is 230330312257. The next prime is 230330312339. The reversal of 230330312334 is 433213033032.

It is a happy number.

230330312334 is a `hidden beast` number, since 2 + 303 + 303 + 1 + 23 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230330312298 and 230330312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230330312339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5133234 + ... + 5177909.

It is an arithmetic number, because the mean of its divisors is an integer number (11159235594).

Almost surely, 2230330312334 is an apocalyptic number.

230330312334 is an abundant number, since it is smaller than the sum of its proper divisors (305312996178).

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

230330312334 is a wasteful number, since it uses less digits than its factorization.

230330312334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311241 (or 10311238 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 230330312334 its reverse (433213033032), we get a palindrome (663543345366).

It can be divided in two parts, 2 and 30330312334, that added together give a square (30330312336 = 1741562).

The spelling of 230330312334 in words is "two hundred thirty billion, three hundred thirty million, three hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 2482 3723 7446 11169 22338 10311143 20622286 30933429 61866858 92800287 175289431 185600574 350578862 525868293 752713439 1051736586 1505426878 1577604879 2258140317 3155209758 4516280634 6774420951 12796128463 13548841902 25592256926 38388385389 76776770778 115165156167 230330312334