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340422223234100 = 225272294495335529
BaseRepresentation
bin100110101100111001011100…
…1101100001000010000110100
31122122100001021001101020020212
41031121302321230020100310
5324104434203121442400
63204003451013444552
7131463460020026600
oct11531627154102064
91578301231336225
10340422223234100
1199518288254667
1232220135940758
13117c48a7490377
14600c748764500
15295526ae9b335
hex1359cb9b08434

340422223234100 has 216 divisors, whose sum is σ = 890934802695000. Its totient is φ = 112440490229760.

The previous prime is 340422223234099. The next prime is 340422223234189. The reversal of 340422223234100 is 1432322224043.

It can be written as a sum of positive squares in 12 ways, for example, as 120687494037796 + 219734729196304 = 10985786^2 + 14823452^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61135136 + ... + 66470664.

It is an arithmetic number, because the mean of its divisors is an integer number (4124698160625).

Almost surely, 2340422223234100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340422223234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445467401347500).

340422223234100 is an abundant number, since it is smaller than the sum of its proper divisors (550512579460900).

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

340422223234100 is a wasteful number, since it uses less digits than its factorization.

340422223234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336035 (or 5336021 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 340422223234100 its reverse (1432322224043), we get a palindrome (341854545458143).

The spelling of 340422223234100 in words is "three hundred forty trillion, four hundred twenty-two billion, two hundred twenty-three million, two hundred thirty-four thousand, one hundred".