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342338867000 = 23531343757809
BaseRepresentation
bin1001111101101001111…
…11001000111100111000
31012201122011222022121022
410332310333020330320
521102102222221000
6421133542002012
733506322233354
oct4766477107470
91181564868538
10342338867000
11122204402779
1256420716308
1326389614230
14127d81b8464
158d89693585
hex4fb4fc8f38

342338867000 has 256 divisors, whose sum is σ = 885015331200. Its totient is φ = 123146956800.

The previous prime is 342338866997. The next prime is 342338867011. The reversal of 342338867000 is 768833243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423162596 + ... + 423163404.

Almost surely, 2342338867000 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 342338867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442507665600).

342338867000 is an abundant number, since it is smaller than the sum of its proper divisors (542676464200).

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

342338867000 is a wasteful number, since it uses less digits than its factorization.

342338867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 342338867000 in words is "three hundred forty-two billion, three hundred thirty-eight million, eight hundred sixty-seven thousand".