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342423324243 = 32721113371011453
BaseRepresentation
bin1001111101110100000…
…01010100011001010011
31012201212001220012011100
410332322001110121103
521102240332333433
6421150200115443
733511366142400
oct4767201243123
91181761805140
10342423324243
11122248048750
1256444a65b83
13263a0c75330
14128054c12a7
158d91cc7b13
hex4fba054653

342423324243 has 288 divisors, whose sum is σ = 701577519552. Its totient is φ = 158070528000.

The previous prime is 342423324239. The next prime is 342423324301.

342423324243 is a `hidden beast` number, since 3 + 4 + 242 + 332 + 42 + 43 = 666.

342423324243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342423324243 - 22 = 342423324239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342423324198 and 342423324207.

It is not an unprimeable number, because it can be changed into a prime (342423364243) 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 287 ways as a sum of consecutive naturals, for example, 235665705 + ... + 235667157.

It is an arithmetic number, because the mean of its divisors is an integer number (2436033054).

Almost surely, 2342423324243 is an apocalyptic number.

342423324243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342423324243 is an abundant number, since it is smaller than the sum of its proper divisors (359154195309).

342423324243 is a wasteful number, since it uses less digits than its factorization.

342423324243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

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

It can be divided in two parts, 342423 and 324243, that added together give a palindrome (666666).

The spelling of 342423324243 in words is "three hundred forty-two billion, four hundred twenty-three million, three hundred twenty-four thousand, two hundred forty-three".