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234024210420 = 22357111337531987
BaseRepresentation
bin1101100111110011101…
…1100000111111110100
3211101001112211122202220
43121330323200333310
512313240144213140
6255301555002340
722623223652520
oct3317473407764
9741045748686
10234024210420
1190281625070
12394322993b0
13190b7331670
14b480b82d80
15614a506bd0
hex367cee0ff4

234024210420 has 768 divisors, whose sum is σ = 921090465792. Its totient is φ = 42828963840.

The previous prime is 234024210401. The next prime is 234024210461. The reversal of 234024210420 is 24012420432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 117776667 + ... + 117778653.

It is an arithmetic number, because the mean of its divisors is an integer number (1199336544).

Almost surely, 2234024210420 is an apocalyptic number.

234024210420 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 234024210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460545232896).

234024210420 is an abundant number, since it is smaller than the sum of its proper divisors (687066255372).

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

234024210420 is a wasteful number, since it uses less digits than its factorization.

234024210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 234024210420 its reverse (24012420432), we get a palindrome (258036630852).

It can be divided in two parts, 234024 and 210420, that added together give a palindrome (444444).

The spelling of 234024210420 in words is "two hundred thirty-four billion, twenty-four million, two hundred ten thousand, four hundred twenty".