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213434334 = 232197383103
BaseRepresentation
bin11001011100010…
…11111111011110
3112212121120212100
430232023333132
5414114344314
633102345530
75201106351
oct1456137736
9485546770
10213434334
11aa529413
125b58b2a6
13352ac109
14204bc298
1513b0ec09
hexcb8bfde

213434334 has 96 divisors (see below), whose sum is σ = 504241920. Its totient is φ = 65038464.

The previous prime is 213434323. The next prime is 213434341. The reversal of 213434334 is 433434312.

It is a junction number, because it is equal to n+sod(n) for n = 213434298 and 213434307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2072127 + ... + 2072229.

It is an arithmetic number, because the mean of its divisors is an integer number (5252520).

Almost surely, 2213434334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213434334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252120960).

213434334 is an abundant number, since it is smaller than the sum of its proper divisors (290807586).

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

213434334 is a wasteful number, since it uses less digits than its factorization.

213434334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 213434334 is about 14609.3919791345. The cubic root of 213434334 is about 597.6149148442.

Adding to 213434334 its reverse (433434312), we get a palindrome (646868646).

It can be divided in two parts, 2 and 13434334, that added together give a triangular number (13434336 = T5183).

The spelling of 213434334 in words is "two hundred thirteen million, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 73 83 103 114 146 166 171 206 219 249 309 342 438 498 618 657 747 927 1314 1387 1494 1577 1854 1957 2774 3154 3914 4161 4731 5871 6059 7519 8322 8549 9462 11742 12118 12483 14193 15038 17098 17613 18177 22557 24966 25647 28386 35226 36354 45114 51294 54531 67671 76941 109062 115121 135342 142861 153882 162431 230242 285722 324862 345363 428583 487293 624077 690726 857166 974586 1036089 1248154 1285749 1461879 1872231 2072178 2571498 2923758 3744462 5616693 11233386 11857463 23714926 35572389 71144778 106717167 213434334