Search a number
-
+
232488330304 = 2629733534861
BaseRepresentation
bin1101100010000101100…
…0100110010001000000
3211020002111210212100011
43120201120212101000
512302114003032204
6254445331434304
722540164126106
oct3304130462100
9736074725304
10232488330304
118a66366865a
1239083a55994
1318c01088b69
14b376bbdc76
1560aa771304
hex3621626440

232488330304 has 112 divisors (see below), whose sum is σ = 485260467120. Its totient is φ = 110361968640.

The previous prime is 232488330259. The next prime is 232488330307. The reversal of 232488330304 is 403033884232.

It can be written as a sum of positive squares in 8 ways, for example, as 13980697600 + 218507632704 = 118240^2 + 467448^2 .

It is not an unprimeable number, because it can be changed into a prime (232488330307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47824834 + ... + 47829694.

Almost surely, 2232488330304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232488330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242630233560).

232488330304 is an abundant number, since it is smaller than the sum of its proper divisors (252772136816).

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

232488330304 is a wasteful number, since it uses less digits than its factorization.

232488330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 232488330304 in words is "two hundred thirty-two billion, four hundred eighty-eight million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 146 232 292 353 464 584 706 928 1168 1412 1856 2117 2336 2824 4234 4672 4861 5648 8468 9722 10237 11296 16936 19444 20474 22592 25769 33872 38888 40948 51538 67744 77776 81896 103076 135488 140969 155552 163792 206152 281938 311104 327584 354853 412304 563876 655168 709706 747301 824608 1127752 1419412 1494602 1649216 1715933 2255504 2838824 2989204 3431866 4511008 5677648 5978408 6863732 9022016 10290737 11355296 11956816 13727464 20581474 22710592 23913632 27454928 41162948 47827264 49762057 54909856 82325896 99524114 109819712 125263109 164651792 199048228 250526218 329303584 398096456 501052436 658607168 796192912 1002104872 1592385824 2004209744 3184771648 3632630161 4008419488 7265260322 8016838976 14530520644 29061041288 58122082576 116244165152 232488330304