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341106320 = 24597113389
BaseRepresentation
bin10100010101001…
…101111010010000
3212202211222220102
4110111031322100
51144310400240
653503031532
711311233032
oct2425157220
9782758812
10341106320
11165600255
129629b5a8
1355891079
1433433c52
151ee2d815
hex1454de90

341106320 has 80 divisors (see below), whose sum is σ = 810416880. Its totient is φ = 133496832.

The previous prime is 341106319. The next prime is 341106329. The reversal of 341106320 is 23601143.

It can be written as a sum of positive squares in 8 ways, for example, as 96746896 + 244359424 = 9836^2 + 15632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 341106292 and 341106301.

It is not an unprimeable number, because it can be changed into a prime (341106329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 876686 + ... + 877074.

It is an arithmetic number, because the mean of its divisors is an integer number (10130211).

Almost surely, 2341106320 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 341106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

341106320 is an abundant number, since it is smaller than the sum of its proper divisors (469310560).

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

341106320 is a wasteful number, since it uses less digits than its factorization.

341106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 341106320 is about 18469.0638636613. The cubic root of 341106320 is about 698.7094042935.

Adding to 341106320 its reverse (23601143), we get a palindrome (364707463).

The spelling of 341106320 in words is "three hundred forty-one million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 113 194 226 388 389 452 485 565 776 778 904 970 1130 1552 1556 1808 1940 1945 2260 3112 3880 3890 4520 6224 7760 7780 9040 10961 15560 21922 31120 37733 43844 43957 54805 75466 87688 87914 109610 150932 175376 175828 188665 219220 219785 301864 351656 377330 438440 439570 603728 703312 754660 876880 879140 1509320 1758280 3018640 3516560 4263829 8527658 17055316 21319145 34110632 42638290 68221264 85276580 170553160 341106320