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340339224896 = 261119210113259
BaseRepresentation
bin1001111001111011100…
…11000111000101000000
31012112110211021222022122
410330331303013011000
521034003320144041
6420203310423412
733405631452116
oct4747563070500
91175424258278
10340339224896
1112137868aaa0
1255b62b01b68
132612b263a58
14126887b3ab6
158cbdd51c4b
hex4f3dcc7140

340339224896 has 168 divisors, whose sum is σ = 785332622880. Its totient is φ = 145095552000.

The previous prime is 340339224893. The next prime is 340339224913. The reversal of 340339224896 is 698422933043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340339224893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25661915 + ... + 25675173.

Almost surely, 2340339224896 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 340339224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392666311440).

340339224896 is an abundant number, since it is smaller than the sum of its proper divisors (444993397984).

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

340339224896 is a wasteful number, since it uses less digits than its factorization.

340339224896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13421 (or 13392 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 53.

The spelling of 340339224896 in words is "three hundred forty billion, three hundred thirty-nine million, two hundred twenty-four thousand, eight hundred ninety-six".