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342290333088 = 25331123123407
BaseRepresentation
bin1001111101100100001…
…01111111110110100000
31012201111210122112121000
410332302011333312200
521102002311124323
6421125045432000
733505162553154
oct4766205776640
91181453575530
10342290333088
11122189a73500
125640840b600
132637c550242
14127d1983064
158d852a7e43
hex4fb217fda0

342290333088 has 432 divisors, whose sum is σ = 1134229703040. Its totient is φ = 100348934400.

The previous prime is 342290333083. The next prime is 342290333089. The reversal of 342290333088 is 880333092243.

342290333088 is a `hidden beast` number, since 3 + 422 + 90 + 33 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (342290333083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100465081 + ... + 100468487.

It is an arithmetic number, because the mean of its divisors is an integer number (2625531720).

Almost surely, 2342290333088 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 342290333088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567114851520).

342290333088 is an abundant number, since it is smaller than the sum of its proper divisors (791939369952).

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

342290333088 is a wasteful number, since it uses less digits than its factorization.

342290333088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 342290333088 in words is "three hundred forty-two billion, two hundred ninety million, three hundred thirty-three thousand, eighty-eight".