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343020402144 = 253271923389357
BaseRepresentation
bin1001111110111011001…
…10111111010111100000
31012210101200101220001200
410333131212333113200
521110001210332034
6421325325401200
733532236211320
oct4773546772740
91183350356050
10343020402144
11122524090162
1256590a09200
1326467889b74
1412860907280
158dc9419a99
hex4fdd9bf5e0

343020402144 has 288 divisors, whose sum is σ = 1224515335680. Its totient is φ = 88810546176.

The previous prime is 343020402113. The next prime is 343020402149. The reversal of 343020402144 is 441204020343.

It is a happy number.

343020402144 is a `hidden beast` number, since 3 + 430 + 204 + 0 + 21 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343020402149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686314 + ... + 1075670.

It is an arithmetic number, because the mean of its divisors is an integer number (4251789360).

Almost surely, 2343020402144 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 343020402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612257667840).

343020402144 is an abundant number, since it is smaller than the sum of its proper divisors (881494933536).

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

343020402144 is a wasteful number, since it uses less digits than its factorization.

343020402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389422 (or 389411 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 343020402144 its reverse (441204020343), we get a palindrome (784224422487).

The spelling of 343020402144 in words is "three hundred forty-three billion, twenty million, four hundred two thousand, one hundred forty-four".