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340694432064 = 263276113710111
BaseRepresentation
bin1001111010100101111…
…10000111100101000000
31012120101120200100221200
410331102332013211000
521040220233311224
6420302440021200
733420503614410
oct4752276074500
91176346610850
10340694432064
11121540141438
1256041a61800
1326186a210cc
14126bda38640
158ce01185c9
hex4f52f87940

340694432064 has 336 divisors, whose sum is σ = 1142733336576. Its totient is φ = 95037235200.

The previous prime is 340694432063. The next prime is 340694432087. The reversal of 340694432064 is 460234496043.

It is a happy number.

340694432064 is a `hidden beast` number, since 340 + 69 + 4 + 43 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3406944320642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340694432063) 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 47 ways as a sum of consecutive naturals, for example, 33690369 + ... + 33700479.

Almost surely, 2340694432064 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 340694432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571366668288).

340694432064 is an abundant number, since it is smaller than the sum of its proper divisors (802038904512).

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

340694432064 is a wasteful number, since it uses less digits than its factorization.

340694432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 340694432064 in words is "three hundred forty billion, six hundred ninety-four million, four hundred thirty-two thousand, sixty-four".