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341938783368 = 233371319915587
BaseRepresentation
bin1001111100111010010…
…00111100010010001000
31012200121022010222001000
410332131020330102020
521100242312031433
6421030130455000
733463363462650
oct4763510742210
91180538128030
10341938783368
1112201958aa46
125632a734460
1326324773860
141279add1360
158d644b5113
hex4f9d23c488

341938783368 has 256 divisors, whose sum is σ = 1230550272000. Its totient is φ = 85435160832.

The previous prime is 341938783363. The next prime is 341938783423. The reversal of 341938783368 is 863387839143.

341938783368 is a `hidden beast` number, since 3 + 4 + 193 + 8 + 7 + 83 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (341938783363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84330 + ... + 831257.

It is an arithmetic number, because the mean of its divisors is an integer number (4806837000).

Almost surely, 2341938783368 is an apocalyptic number.

341938783368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341938783368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615275136000).

341938783368 is an abundant number, since it is smaller than the sum of its proper divisors (888611488632).

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

341938783368 is a wasteful number, since it uses less digits than its factorization.

341938783368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915641 (or 915631 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 341938783368 in words is "three hundred forty-one billion, nine hundred thirty-eight million, seven hundred eighty-three thousand, three hundred sixty-eight".