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342826848 = 2532713103127
BaseRepresentation
bin10100011011110…
…001111101100000
3212220002102000200
4110123301331200
51200230424343
654003545200
711331660120
oct2433617540
9786072020
10342826848
11166575981
129698b200
1356044230
1433760c80
152016d4d3
hex146f1f60

342826848 has 288 divisors, whose sum is σ = 1221083136. Its totient is φ = 88833024.

The previous prime is 342826829. The next prime is 342826853. The reversal of 342826848 is 848628243.

342826848 is a `hidden beast` number, since 342 + 8 + 268 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699361 + ... + 2699487.

It is an arithmetic number, because the mean of its divisors is an integer number (4239872).

Almost surely, 2342826848 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 342826848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610541568).

342826848 is an abundant number, since it is smaller than the sum of its proper divisors (878256288).

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

342826848 is a wasteful number, since it uses less digits than its factorization.

342826848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 342826848 is about 18515.5839227392. The cubic root of 342826848 is about 699.8821896974.

It can be divided in two parts, 3428 and 26848, that added together give a square (30276 = 1742).

The spelling of 342826848 in words is "three hundred forty-two million, eight hundred twenty-six thousand, eight hundred forty-eight".