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213460326 = 23319375623
BaseRepresentation
bin11001011100100…
…10010101100110
3112212122220112000
430232102111212
5414121212301
633103110130
75201245212
oct1456222546
9485586460
10213460326
11aa5469a2
125b5a2346
13352babb1
14204c7942
1513b17786
hexcb92566

213460326 has 64 divisors (see below), whose sum is σ = 512908800. Its totient is φ = 65575008.

The previous prime is 213460321. The next prime is 213460339. The reversal of 213460326 is 623064312.

213460326 is a `hidden beast` number, since 2 + 1 + 34 + 603 + 26 = 666.

213460326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213460326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213460321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35151 + ... + 40773.

It is an arithmetic number, because the mean of its divisors is an integer number (8014200).

Almost surely, 2213460326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213460326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256454400).

213460326 is an abundant number, since it is smaller than the sum of its proper divisors (299448474).

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

213460326 is a wasteful number, since it uses less digits than its factorization.

213460326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5684 counting only the distinct ones).

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

The square root of 213460326 is about 14610.2815167949. The cubic root of 213460326 is about 597.6391730099.

The spelling of 213460326 in words is "two hundred thirteen million, four hundred sixty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 4218 5623 6327 11246 12654 16869 18981 33738 37962 50607 101214 106837 151821 208051 213674 303642 320511 416102 624153 641022 961533 1248306 1872459 1923066 2884599 3744918 3952969 5617377 5769198 7905938 11234754 11858907 23717814 35576721 71153442 106730163 213460326