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232342234344 = 23321110322712547
BaseRepresentation
bin1101100001100010101…
…1010010010011101000
3211012201022220102100200
43120120223102103220
512301314102444334
6254423032232200
722533441256263
oct3303053222350
9735638812320
10232342234344
118a5991525a0
1239042b3b660
1318ba9a25c4c
14b36162dcda
15609ca13799
hex3618ad24e8

232342234344 has 192 divisors, whose sum is σ = 696239331840. Its totient is φ = 69410494080.

The previous prime is 232342234321. The next prime is 232342234349. The reversal of 232342234344 is 443432243232.

232342234344 is a `hidden beast` number, since 23 + 23 + 42 + 234 + 344 = 666.

It is a super-2 number, since 2×2323422343442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232342234299 and 232342234308.

It is not an unprimeable number, because it can be changed into a prime (232342234349) 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 47 ways as a sum of consecutive naturals, for example, 18511479 + ... + 18524025.

It is an arithmetic number, because the mean of its divisors is an integer number (3626246520).

Almost surely, 2232342234344 is an apocalyptic number.

232342234344 is a gapful number since it is divisible by the number (24) 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 232342234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348119665920).

232342234344 is an abundant number, since it is smaller than the sum of its proper divisors (463897097496).

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

232342234344 is a wasteful number, since it uses less digits than its factorization.

232342234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12893 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 232342234344 its reverse (443432243232), we get a palindrome (675774477576).

The spelling of 232342234344 in words is "two hundred thirty-two billion, three hundred forty-two million, two hundred thirty-four thousand, three hundred forty-four".