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341313300 = 223252616217
BaseRepresentation
bin10100010110000…
…000011100010100
3212210020111211100
4110112000130110
51144334011200
653511310100
711313054336
oct2426003424
9783214740
10341313300
11165731809
129637b330
1355934343
1433489456
151ee6ed00
hex14580714

341313300 has 108 divisors (see below), whose sum is σ = 1087540636. Its totient is φ = 89510400.

The previous prime is 341313293. The next prime is 341313311. The reversal of 341313300 is 3313143.

It can be written as a sum of positive squares in 6 ways, for example, as 33942276 + 307371024 = 5826^2 + 17532^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51792 + ... + 58008.

Almost surely, 2341313300 is an apocalyptic number.

341313300 is a gapful number since it is divisible by the number (30) 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 341313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543770318).

341313300 is an abundant number, since it is smaller than the sum of its proper divisors (746227336).

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

341313300 is a wasteful number, since it uses less digits than its factorization.

341313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 341313300 is about 18474.6664381255. Note that the first 3 decimals coincide. The cubic root of 341313300 is about 698.8506990773.

Adding to 341313300 its reverse (3313143), we get a palindrome (344626443).

The spelling of 341313300 in words is "three hundred forty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 6217 9150 10980 12434 13725 18300 18651 24868 27450 31085 37302 54900 55953 62170 74604 93255 111906 124340 155425 186510 223812 279765 310850 373020 379237 466275 559530 621700 758474 932550 1119060 1137711 1398825 1516948 1865100 1896185 2275422 2797650 3413133 3792370 4550844 5595300 5688555 6826266 7584740 9480925 11377110 13652532 17065665 18961850 22754220 28442775 34131330 37923700 56885550 68262660 85328325 113771100 170656650 341313300