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340512278136 = 23317472675639
BaseRepresentation
bin1001111010010000001…
…11010000011001111000
31012112220212220222201220
410331020013100121320
521034332120400021
6420232411512040
733413132415402
oct4751007203170
91175825828656
10340512278136
111214573384a8
1255bb0a58620
1326158074a14
14126a377db72
158cce136cc6
hex4f481d0678

340512278136 has 192 divisors, whose sum is σ = 934853011200. Its totient is φ = 102975679488.

The previous prime is 340512278123. The next prime is 340512278137. The reversal of 340512278136 is 631872215043.

It is a super-3 number, since 3×3405122781363 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340512278137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60382405 + ... + 60388043.

It is an arithmetic number, because the mean of its divisors is an integer number (4869026100).

Almost surely, 2340512278136 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 340512278136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467426505600).

340512278136 is an abundant number, since it is smaller than the sum of its proper divisors (594340733064).

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

340512278136 is a wasteful number, since it uses less digits than its factorization.

340512278136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 340512278136 in words is "three hundred forty billion, five hundred twelve million, two hundred seventy-eight thousand, one hundred thirty-six".