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350216433 = 3373761821
BaseRepresentation
bin10100110111111…
…110000011110001
3220101222211122000
4110313332003301
51204123411213
654430204213
711451535110
oct2467760361
9811884560
10350216433
1116a762876
1299353669
1357730878
1434725c77
1520b2cc73
hex14dfe0f1

350216433 has 64 divisors (see below), whose sum is σ = 619722240. Its totient is φ = 191289600.

The previous prime is 350216407. The next prime is 350216453. The reversal of 350216433 is 334612053.

It is a happy number.

It is not a de Polignac number, because 350216433 - 210 = 350215409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 350216397 and 350216406.

It is not an unprimeable number, because it can be changed into a prime (350216453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426163 + ... + 426983.

It is an arithmetic number, because the mean of its divisors is an integer number (9683160).

Almost surely, 2350216433 is an apocalyptic number.

It is an amenable number.

350216433 is a deficient number, since it is larger than the sum of its proper divisors (269505807).

350216433 is a wasteful number, since it uses less digits than its factorization.

350216433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 350216433 is about 18714.0704551415. The cubic root of 350216433 is about 704.8751068937.

Adding to 350216433 its reverse (334612053), we get a palindrome (684828486).

The spelling of 350216433 in words is "three hundred fifty million, two hundred sixteen thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 61 63 111 183 189 259 333 427 549 777 821 999 1281 1647 2257 2331 2463 3843 5747 6771 6993 7389 11529 15799 17241 20313 22167 30377 47397 50081 51723 60939 91131 142191 150243 155169 212639 273393 350567 426573 450729 637917 820179 1051701 1352187 1852997 1913751 3155103 5558991 5741253 9465309 12970979 16676973 38912937 50030919 116738811 350216433