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323344034340 = 223579237128771
BaseRepresentation
bin1001011010010001100…
…11100110101000100100
31010220121101211211201120
410231020303212220210
520244202033044330
6404313040453540
732234523641445
oct4551063465044
91126541754646
10323344034340
11115147306868
12527bb31a2b0
1324650265792
14119155c72cc
158626cc9c10
hex4b48ce6a24

323344034340 has 96 divisors (see below), whose sum is σ = 917242152960. Its totient is φ = 85094755200.

The previous prime is 323344034339. The next prime is 323344034437. The reversal of 323344034340 is 43430443323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11224155 + ... + 11252925.

It is an arithmetic number, because the mean of its divisors is an integer number (9554605760).

Almost surely, 2323344034340 is an apocalyptic number.

323344034340 is a gapful number since it is divisible by the number (30) 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 323344034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458621076480).

323344034340 is an abundant number, since it is smaller than the sum of its proper divisors (593898118620).

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

323344034340 is a wasteful number, since it uses less digits than its factorization.

323344034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31233 (or 31231 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 323344034340 its reverse (43430443323), we get a palindrome (366774477663).

The spelling of 323344034340 in words is "three hundred twenty-three billion, three hundred forty-four million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2371 4740 4742 7113 9484 11855 14226 23710 28452 28771 35565 47420 57542 71130 86313 115084 142260 143855 172626 187309 287710 345252 374618 431565 561927 575420 749236 863130 936545 1123854 1726260 1873090 2247708 2272909 2809635 3746180 4545818 5619270 6818727 9091636 11238540 11364545 13637454 22729090 27274908 34093635 45458180 68187270 68216041 136374540 136432082 204648123 272864164 341080205 409296246 682160410 818592492 1023240615 1364320820 2046481230 4092962460 5389067239 10778134478 16167201717 21556268956 26945336195 32334403434 53890672390 64668806868 80836008585 107781344780 161672017170 323344034340