Search a number
-
+
230242330344 = 233131231599477
BaseRepresentation
bin1101011001101110000…
…0110010011011101000
3211000021222120020121110
43112123200302123220
512233014014032334
6253434420110320
722430422342215
oct3263340623350
9730258506543
10230242330344
118971087a644
12387578353a0
131893396c9c0
14b2027aab0c
155ec84b9ae9
hex359b8326e8

230242330344 has 64 divisors (see below), whose sum is σ = 620387792640. Its totient is φ = 70786126080.

The previous prime is 230242330343. The next prime is 230242330397. The reversal of 230242330344 is 443033242032.

230242330344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230242330343) 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 15 ways as a sum of consecutive naturals, for example, 84334 + ... + 683810.

It is an arithmetic number, because the mean of its divisors is an integer number (9693559260).

Almost surely, 2230242330344 is an apocalyptic number.

230242330344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230242330344 is an abundant number, since it is smaller than the sum of its proper divisors (390145462296).

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

230242330344 is a wasteful number, since it uses less digits than its factorization.

230242330344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600730 (or 600726 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 230242330344 its reverse (443033242032), we get a palindrome (673275572376).

The spelling of 230242330344 in words is "two hundred thirty billion, two hundred forty-two million, three hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1231 2462 3693 4924 7386 9848 14772 16003 29544 32006 48009 64012 96018 128024 192036 384072 599477 1198954 1798431 2397908 3596862 4795816 7193724 7793201 14387448 15586402 23379603 31172804 46759206 62345608 93518412 187036824 737956187 1475912374 2213868561 2951824748 4427737122 5903649496 8855474244 9593430431 17710948488 19186860862 28780291293 38373721724 57560582586 76747443448 115121165172 230242330344