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210324340 = 225176110141
BaseRepresentation
bin11001000100101…
…00101101110100
3112122202120202101
430202110231310
5412320334330
632511551444
75132504332
oct1442245564
9478676671
10210324340
11a87a4876
125a52b584
1334760695
141dd0cb52
15136e84ca
hexc894b74

210324340 has 48 divisors (see below), whose sum is σ = 475375824. Its totient is φ = 77875200.

The previous prime is 210324313. The next prime is 210324341. The reversal of 210324340 is 43423012.

It can be written as a sum of positive squares in 8 ways, for example, as 31674384 + 178649956 = 5628^2 + 13366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210324341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15670 + ... + 25810.

It is an arithmetic number, because the mean of its divisors is an integer number (9903663).

Almost surely, 2210324340 is an apocalyptic number.

210324340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237687912).

210324340 is an abundant number, since it is smaller than the sum of its proper divisors (265051484).

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

210324340 is a wasteful number, since it uses less digits than its factorization.

210324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 210324340 is about 14502.5632217205. The cubic root of 210324340 is about 594.6980460684.

Adding to 210324340 its reverse (43423012), we get a palindrome (253747352).

The spelling of 210324340 in words is "two hundred ten million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 10141 10370 20282 20740 40564 50705 101410 172397 202820 344794 618601 689588 861985 1237202 1723970 2474404 3093005 3447940 6186010 10516217 12372020 21032434 42064868 52581085 105162170 210324340