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341142220 = 225374371151
BaseRepresentation
bin10100010101010…
…110101011001100
3212202220211011001
4110111112223030
51144313022340
653503510044
711311442506
oct2425265314
9782824131
10341142220
11165625221
12962b8324
13558a4503
1433442d76
151ee3929a
hex14556acc

341142220 has 96 divisors (see below), whose sum is σ = 768531456. Its totient is φ = 127008000.

The previous prime is 341142199. The next prime is 341142223. The reversal of 341142220 is 22241143.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (341142223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259145 + ... + 2259295.

It is an arithmetic number, because the mean of its divisors is an integer number (8005536).

Almost surely, 2341142220 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 341142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384265728).

341142220 is an abundant number, since it is smaller than the sum of its proper divisors (427389236).

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

341142220 is a wasteful number, since it uses less digits than its factorization.

341142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 341142220 is about 18470.0357335875. The cubic root of 341142220 is about 698.7339155052.

Adding to 341142220 its reverse (22241143), we get a palindrome (363383363).

The spelling of 341142220 in words is "three hundred forty-one million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 71 74 86 142 148 151 172 185 215 284 302 355 370 430 604 710 740 755 860 1420 1510 1591 2627 3020 3053 3182 5254 5587 6106 6364 6493 7955 10508 10721 11174 12212 12986 13135 15265 15910 21442 22348 25972 26270 27935 30530 31820 32465 42884 52540 53605 55870 61060 64930 107210 111740 112961 129860 214420 225922 240241 396677 451844 461003 480482 564805 793354 922006 960964 1129610 1201205 1586708 1844012 1983385 2259220 2305015 2402410 3966770 4610030 4804820 7933540 9220060 17057111 34114222 68228444 85285555 170571110 341142220