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234014321324 = 227229107384773
BaseRepresentation
bin1101100111110001010…
…1110010101010101100
3211101000212020020111002
43121330111302222230
512313230131240244
6255301003015432
722623043624400
oct3317425625254
9741025206432
10234014321324
1190276a90263
123942ab0a578
13190b527b424
14b47d72b100
156149701a4e
hex367c572aac

234014321324 has 72 divisors (see below), whose sum is σ = 497420436240. Its totient is φ = 95928276864.

The previous prime is 234014321279. The next prime is 234014321339. The reversal of 234014321324 is 423123410432.

It is a super-2 number, since 2×2340143213242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415802 + ... + 800574.

It is an arithmetic number, because the mean of its divisors is an integer number (6908617170).

Almost surely, 2234014321324 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 234014321324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248710218120).

234014321324 is an abundant number, since it is smaller than the sum of its proper divisors (263406114916).

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

234014321324 is a wasteful number, since it uses less digits than its factorization.

234014321324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384927 (or 384918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 234014321324 its reverse (423123410432), we get a palindrome (657137731756).

The spelling of 234014321324 in words is "two hundred thirty-four billion, fourteen million, three hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 107 116 196 203 214 406 428 749 812 1421 1498 2842 2996 3103 5243 5684 6206 10486 12412 20972 21721 43442 86884 152047 304094 384773 608188 769546 1539092 2693411 5386822 10773644 11158417 18853877 22316834 37707754 41170711 44633668 75415508 78108919 82341422 156217838 164682844 288194977 312435676 546762433 576389954 1093524866 1152779908 1193950619 2017364839 2187049732 2387901238 4034729678 4775802476 8069459356 8357654333 16715308666 33430617332 58503580331 117007160662 234014321324