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341105000 = 2354174013
BaseRepresentation
bin10100010101001…
…101100101101000
3212202211221002112
4110111031211220
51144310330000
653503021452
711311226135
oct2425154550
9782757075
10341105000
111655aa265
129629a888
13558905a2
143343358c
151ee2d235
hex1454d968

341105000 has 80 divisors (see below), whose sum is σ = 846432180. Its totient is φ = 128384000.

The previous prime is 341104999. The next prime is 341105029. The reversal of 341105000 is 501143.

It can be written as a sum of positive squares in 10 ways, for example, as 850084 + 340254916 = 922^2 + 18446^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82994 + ... + 87006.

Almost surely, 2341105000 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 341105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423216090).

341105000 is an abundant number, since it is smaller than the sum of its proper divisors (505327180).

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

341105000 is a wasteful number, since it uses less digits than its factorization.

341105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 341105000 is about 18469.0281281934. The cubic root of 341105000 is about 698.7085030128.

Adding to 341105000 its reverse (501143), we get a palindrome (341606143).

The spelling of 341105000 in words is "three hundred forty-one million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4013 4250 5000 8026 8500 10625 16052 17000 20065 21250 32104 40130 42500 68221 80260 85000 100325 136442 160520 200650 272884 341105 401300 501625 545768 682210 802600 1003250 1364420 1705525 2006500 2508125 2728840 3411050 4013000 5016250 6822100 8527625 10032500 13644200 17055250 20065000 34110500 42638125 68221000 85276250 170552500 341105000