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320304320340 = 2235163106930637
BaseRepresentation
bin1001010100100111010…
…00000000111101010100
31010121202120002101000120
410222103220000331110
520221440401222330
6403051253111540
732066303541504
oct4522350007524
91117676071016
10320304320340
11113927490734
12520b13285b0
1324287587944
1411707a03a04
1584e9eddc10
hex4a93a00f54

320304320340 has 96 divisors (see below), whose sum is σ = 903227848320. Its totient is φ = 84808290816.

The previous prime is 320304320339. The next prime is 320304320341. The reversal of 320304320340 is 43023403023.

It is an interprime number because it is at equal distance from previous prime (320304320339) and next prime (320304320341).

It is a self number, because there is not a number n which added to its sum of digits gives 320304320340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320304320341) 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, 10439502 + ... + 10470138.

It is an arithmetic number, because the mean of its divisors is an integer number (9408623420).

Almost surely, 2320304320340 is an apocalyptic number.

320304320340 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 320304320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451613924160).

320304320340 is an abundant number, since it is smaller than the sum of its proper divisors (582923527980).

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

320304320340 is a wasteful number, since it uses less digits than its factorization.

320304320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31881 (or 31879 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 320304320340 its reverse (43023403023), we get a palindrome (363327723363).

The spelling of 320304320340 in words is "three hundred twenty billion, three hundred four million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1069 1630 1956 2138 2445 3207 3260 4276 4890 5345 6414 9780 10690 12828 16035 21380 30637 32070 61274 64140 91911 122548 153185 174247 183822 306370 348494 367644 459555 522741 612740 696988 871235 919110 1045482 1742470 1838220 2090964 2613705 3484940 4993831 5227410 9987662 10454820 14981493 19975324 24969155 29962986 32750953 49938310 59925972 65501906 74907465 98252859 99876620 131003812 149814930 163754765 196505718 299629860 327509530 393011436 491264295 655019060 982528590 1965057180 5338405339 10676810678 16015216017 21353621356 26692026695 32030432034 53384053390 64060864068 80076080085 106768106780 160152160170 320304320340