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342883342080 = 283652912671
BaseRepresentation
bin1001111110101010111…
…00001001011100000000
31012210001010111112000000
410333111130021130000
521104211113421310
6421303552000000
733525653214306
oct4772534113400
91183033445000
10342883342080
11122463786984
1256552b30000
132644536ba36
141284a62a276
158dbc3944c0
hex4fd5709700

342883342080 has 504 divisors, whose sum is σ = 1273968622080. Its totient is φ = 88275640320.

The previous prime is 342883342057. The next prime is 342883342099. The reversal of 342883342080 is 80243388243.

342883342080 is a `hidden beast` number, since 3 + 42 + 88 + 33 + 420 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27054145 + ... + 27066815.

It is an arithmetic number, because the mean of its divisors is an integer number (2527715520).

Almost surely, 2342883342080 is an apocalyptic number.

342883342080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342883342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636984311040).

342883342080 is an abundant number, since it is smaller than the sum of its proper divisors (931085280000).

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

342883342080 is an equidigital number, since it uses as much as digits as its factorization.

342883342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 342883342080 in words is "three hundred forty-two billion, eight hundred eighty-three million, three hundred forty-two thousand, eighty".