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234432242023320 = 23325111635936071009
BaseRepresentation
bin110101010011011100000010…
…100000100111101110011000
31010202001111121000122101011100
4311103130002200213232120
5221211414212424221240
62150332404001231400
7100244112333422145
oct6523340240475630
91122044530571140
10234432242023320
1168774178a93730
1222362657632560
13a0a6b338530a3
1441c681c5b73cc
151c181c20b3e30
hexd53702827b98

234432242023320 has 768 divisors, whose sum is σ = 839889890611200. Its totient is φ = 56239455928320.

The previous prime is 234432242023307. The next prime is 234432242023363. The reversal of 234432242023320 is 23320242234432.

234432242023320 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 322 + 4 + 2 + 0 + 2 + 3 + 320 = 666.

It is a super-2 number, since 2×2344322420233202 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 232341170976 + ... + 232341171984.

It is an arithmetic number, because the mean of its divisors is an integer number (1093606628400).

Almost surely, 2234432242023320 is an apocalyptic number.

234432242023320 is a gapful number since it is divisible by the number (20) 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 234432242023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419944945305600).

234432242023320 is an abundant number, since it is smaller than the sum of its proper divisors (605457648587880).

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

234432242023320 is a wasteful number, since it uses less digits than its factorization.

234432242023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2393 counting only the distinct ones).

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

Adding to 234432242023320 its reverse (23320242234432), we get a palindrome (257752484257752).

The spelling of 234432242023320 in words is "two hundred thirty-four trillion, four hundred thirty-two billion, two hundred forty-two million, twenty-three thousand, three hundred twenty".