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343112224 = 257131729239
BaseRepresentation
bin10100011100110…
…111101000100000
3212220121220111011
4110130313220200
51200314042344
654014030304
711334256120
oct2434675040
9786556434
10343112224
11166750324
1296aa8394
13561140b0
14337d6c80
15201c7d34
hex14737a20

343112224 has 192 divisors, whose sum is σ = 914457600. Its totient is φ = 122830848.

The previous prime is 343112201. The next prime is 343112227. The reversal of 343112224 is 422211343.

It is a junction number, because it is equal to n+sod(n) for n = 343112195 and 343112204.

It is not an unprimeable number, because it can be changed into a prime (343112227) 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 31 ways as a sum of consecutive naturals, for example, 1435497 + ... + 1435735.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2343112224 is an apocalyptic number.

343112224 is a gapful number since it is divisible by the number (34) 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 343112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

343112224 is an abundant number, since it is smaller than the sum of its proper divisors (571345376).

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

343112224 is a wasteful number, since it uses less digits than its factorization.

343112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 343112224 is about 18523.2886928860. The cubic root of 343112224 is about 700.0763345326.

Adding to 343112224 its reverse (422211343), we get a palindrome (765323567).

The spelling of 343112224 in words is "three hundred forty-three million, one hundred twelve thousand, two hundred twenty-four".