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340136376768 = 263712231987
BaseRepresentation
bin1001111001100011011…
…01010011100111000000
31012111221200121020000000
410330301231103213000
521033044403024033
6420131223000000
733400616333136
oct4746155234700
91174850536000
10340136376768
11121284132211
1255b06b99000
13260c8220286
141266988d756
158cab133a13
hex4f31b539c0

340136376768 has 224 divisors, whose sum is σ = 1013620446720. Its totient is φ = 113229073152.

The previous prime is 340136376763. The next prime is 340136376779. The reversal of 340136376768 is 867673631043.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340136376761) 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 31 ways as a sum of consecutive naturals, for example, 171179871 + ... + 171181857.

It is an arithmetic number, because the mean of its divisors is an integer number (4525091280).

Almost surely, 2340136376768 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 340136376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506810223360).

340136376768 is an abundant number, since it is smaller than the sum of its proper divisors (673484069952).

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

340136376768 is an equidigital number, since it uses as much as digits as its factorization.

340136376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 340136376768 in words is "three hundred forty billion, one hundred thirty-six million, three hundred seventy-six thousand, seven hundred sixty-eight".