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213341634 = 233112103317
BaseRepresentation
bin11001011011101…
…01010111000010
3112212102212201000
430231311113002
5414103413014
633100352430
75200242162
oct1455652702
9485385630
10213341634
11aa475800
125b545716
1335278b6c
14204965a2
1513ae2509
hexcb755c2

213341634 has 96 divisors (see below), whose sum is σ = 527829120. Its totient is φ = 63819360.

The previous prime is 213341617. The next prime is 213341641. The reversal of 213341634 is 436143312.

213341634 is a `hidden beast` number, since 21 + 3 + 3 + 4 + 1 + 634 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213341598 and 213341607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672844 + ... + 673160.

It is an arithmetic number, because the mean of its divisors is an integer number (5498220).

Almost surely, 2213341634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213341634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263914560).

213341634 is an abundant number, since it is smaller than the sum of its proper divisors (314487486).

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

213341634 is a wasteful number, since it uses less digits than its factorization.

213341634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 213341634 is about 14606.2190179389. The cubic root of 213341634 is about 597.5283824919.

Adding to 213341634 its reverse (436143312), we get a palindrome (649484946).

The spelling of 213341634 in words is "two hundred thirteen million, three hundred forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 121 198 206 242 297 309 317 363 594 618 634 726 927 951 1089 1133 1854 1902 2178 2266 2781 2853 3267 3399 3487 5562 5706 6534 6798 6974 8559 10197 10461 12463 17118 20394 20922 24926 30591 31383 32651 37389 38357 61182 62766 65302 74778 76714 94149 97953 112167 115071 188298 195906 224334 230142 293859 336501 345213 359161 587718 673002 690426 718322 881577 1035639 1077483 1763154 2071278 2154966 3232449 3950771 6464898 7901542 9697347 11852313 19394694 23704626 35556939 71113878 106670817 213341634