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350542356 = 223234761443
BaseRepresentation
bin10100111001001…
…101101000010100
3220102121101201020
4110321031220110
51204214323411
654441201140
711454363243
oct2471155024
9812541636
10350542356
1116a96572a
12994901b0
1357816018
14347ac95a
1520b94606
hex14e4da14

350542356 has 96 divisors (see below), whose sum is σ = 887943168. Its totient is φ = 107352960.

The previous prime is 350542337. The next prime is 350542373. The reversal of 350542356 is 653245053.

350542356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 791071 + ... + 791513.

It is an arithmetic number, because the mean of its divisors is an integer number (9249408).

Almost surely, 2350542356 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 350542356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443971584).

350542356 is an abundant number, since it is smaller than the sum of its proper divisors (537400812).

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

350542356 is a wasteful number, since it uses less digits than its factorization.

350542356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 350542356 is about 18722.7763966779. The cubic root of 350542356 is about 705.0936991301.

The spelling of 350542356 in words is "three hundred fifty million, five hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 47 61 69 92 94 122 138 141 183 188 244 276 282 366 443 564 732 886 1081 1329 1403 1772 2162 2658 2806 2867 3243 4209 4324 5316 5612 5734 6486 8418 8601 10189 11468 12972 16836 17202 20378 20821 27023 30567 34404 40756 41642 54046 61134 62463 65941 81069 83284 108092 122268 124926 131882 162138 197823 249852 263764 324276 395646 478883 621529 791292 957766 1243058 1270081 1436649 1864587 1915532 2486116 2540162 2873298 3729174 3810243 5080324 5746596 7458348 7620486 15240972 29211863 58423726 87635589 116847452 175271178 350542356