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234431301420 = 2232529416471693
BaseRepresentation
bin1101101001010100110…
…0011100011100101100
3211102002220212000122100
43122111030130130230
512320103403121140
6255410220215100
722636266116661
oct3322514343454
9742086760570
10234431301420
11904703a3608
123952669a490
1319150786704
14b4bcc71a68
15617111b530
hex369531c72c

234431301420 has 288 divisors, whose sum is σ = 755181947520. Its totient is φ = 58761400320.

The previous prime is 234431301407. The next prime is 234431301421. The reversal of 234431301420 is 24103134432.

234431301420 is a `hidden beast` number, since 2 + 344 + 313 + 0 + 1 + 4 + 2 + 0 = 666.

234431301420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234431301421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138470094 + ... + 138471786.

It is an arithmetic number, because the mean of its divisors is an integer number (2622159540).

Almost surely, 2234431301420 is an apocalyptic number.

234431301420 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 234431301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377590973760).

234431301420 is an abundant number, since it is smaller than the sum of its proper divisors (520750646100).

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

234431301420 is a wasteful number, since it uses less digits than its factorization.

234431301420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234431301420 its reverse (24103134432), we get a palindrome (258534435852).

The spelling of 234431301420 in words is "two hundred thirty-four billion, four hundred thirty-one million, three hundred one thousand, four hundred twenty".