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342041334400 = 27524715115061
BaseRepresentation
bin1001111101000110100…
…00001001001010000000
31012200212110010002121101
410332203100021022000
521101000040200100
6421044232504144
733466050241363
oct4764320111200
91180773102541
10342041334400
11122071464067
1256358b4b054
132633ca9b53c
14127aa8880da
158d6d4c086a
hex4fa3409280

342041334400 has 192 divisors, whose sum is σ = 868699042560. Its totient is φ = 133009920000.

The previous prime is 342041334377. The next prime is 342041334403. The reversal of 342041334400 is 4433140243.

It is not an unprimeable number, because it can be changed into a prime (342041334403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22702870 + ... + 22717930.

It is an arithmetic number, because the mean of its divisors is an integer number (4524474180).

Almost surely, 2342041334400 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 342041334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434349521280).

342041334400 is an abundant number, since it is smaller than the sum of its proper divisors (526657708160).

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

342041334400 is a wasteful number, since it uses less digits than its factorization.

342041334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15283 (or 15266 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 342041334400 its reverse (4433140243), we get a palindrome (346474474643).

The spelling of 342041334400 in words is "three hundred forty-two billion, forty-one million, three hundred thirty-four thousand, four hundred".