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343324040 = 23529436883
BaseRepresentation
bin10100011101101…
…011010110001000
3212221000200001012
4110131223112020
51200342332130
654022343052
711336130503
oct2435532610
9787020035
10343324040
11166885484
1296b8aa88
1356189627
143385013a
152021a995
hex1476b588

343324040 has 64 divisors (see below), whose sum is σ = 817819200. Its totient is φ = 129491712.

The previous prime is 343323971. The next prime is 343324057. The reversal of 343324040 is 40423343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 343323997 and 343324015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46439 + ... + 53321.

It is an arithmetic number, because the mean of its divisors is an integer number (12778425).

Almost surely, 2343324040 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 343324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408909600).

343324040 is an abundant number, since it is smaller than the sum of its proper divisors (474495160).

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

343324040 is a wasteful number, since it uses less digits than its factorization.

343324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 343324040 is about 18529.0053699598. The cubic root of 343324040 is about 700.2203659938.

Adding to 343324040 its reverse (40423343), we get a palindrome (383747383).

The spelling of 343324040 in words is "three hundred forty-three million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 344 430 580 860 1160 1247 1720 2494 4988 6235 6883 9976 12470 13766 24940 27532 34415 49880 55064 68830 137660 199607 275320 295969 399214 591938 798428 998035 1183876 1479845 1596856 1996070 2367752 2959690 3992140 5919380 7984280 8583101 11838760 17166202 34332404 42915505 68664808 85831010 171662020 343324040