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343360050 = 2352111712241
BaseRepresentation
bin10100011101110…
…100001000110010
3212221002111102220
4110131310020302
51200400010200
654023221510
711336340465
oct2435641062
9787074386
10343360050
111668aa540
1296ba7896
135619cb37
143385d2dc
15202264a0
hex14774232

343360050 has 96 divisors (see below), whose sum is σ = 983669184. Its totient is φ = 78336000.

The previous prime is 343360049. The next prime is 343360057. The reversal of 343360050 is 50063343.

It is a super-2 number, since 2×3433600502 = 235792247872005000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343360050.

It is not an unprimeable number, because it can be changed into a prime (343360057) 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 47 ways as a sum of consecutive naturals, for example, 21930 + ... + 34170.

It is an arithmetic number, because the mean of its divisors is an integer number (10246554).

Almost surely, 2343360050 is an apocalyptic number.

343360050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343360050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491834592).

343360050 is an abundant number, since it is smaller than the sum of its proper divisors (640309134).

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

343360050 is a wasteful number, since it uses less digits than its factorization.

343360050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 343360050 is about 18529.9770642060. The cubic root of 343360050 is about 700.2448463203.

The spelling of 343360050 in words is "three hundred forty-three million, three hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 150 165 170 187 255 275 330 374 425 510 550 561 825 850 935 1122 1275 1650 1870 2550 2805 4675 5610 9350 12241 14025 24482 28050 36723 61205 73446 122410 134651 183615 208097 269302 306025 367230 403953 416194 612050 624291 673255 807906 918075 1040485 1248582 1346510 1836150 2019765 2080970 2289067 3121455 3366275 4039530 4578134 5202425 6242910 6732550 6867201 10098825 10404850 11445335 13734402 15607275 20197650 22890670 31214550 34336005 57226675 68672010 114453350 171680025 343360050