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342300288 = 27311253139
BaseRepresentation
bin10100011001110…
…001011010000000
3212212002122201110
4110121301122000
51200112102123
653544403320
711324335011
oct2431613200
9785078643
10342300288
11166246300
1296776540
1355bbb665
1433665008
15200b7493
hex14671680

342300288 has 192 divisors, whose sum is σ = 1025589600. Its totient is φ = 101038080.

The previous prime is 342300281. The next prime is 342300307. The reversal of 342300288 is 882003243.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (342300281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2462523 + ... + 2462661.

Almost surely, 2342300288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512794800).

342300288 is an abundant number, since it is smaller than the sum of its proper divisors (683289312).

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

342300288 is a wasteful number, since it uses less digits than its factorization.

342300288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 342300288 is about 18501.3590852132. The cubic root of 342300288 is about 699.5236814023.

The spelling of 342300288 in words is "three hundred forty-two million, three hundred thousand, two hundred eighty-eight".