Search a number
-
+
301321034320 = 24541419219251
BaseRepresentation
bin1000110001010000010…
…00100001101001010000
31001210202120200112011011
410120220020201221100
514414101141044240
6350231443300304
730525005350345
oct4305010415120
91053676615134
10301321034320
111068759609a9
124a49397a694
132255071ca17
141082677a7cc
157c886566ea
hex4628221a50

301321034320 has 80 divisors (see below), whose sum is σ = 719374582080. Its totient is φ = 117307520000.

The previous prime is 301321034309. The next prime is 301321034323. The reversal of 301321034320 is 23430123103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 301321034291 and 301321034300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301321034323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264695 + ... + 1483945.

It is an arithmetic number, because the mean of its divisors is an integer number (8992182276).

Almost surely, 2301321034320 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 301321034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359687291040).

301321034320 is an abundant number, since it is smaller than the sum of its proper divisors (418053547760).

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

301321034320 is a wasteful number, since it uses less digits than its factorization.

301321034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219724 (or 219718 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 301321034320 its reverse (23430123103), we get a palindrome (324751157423).

The spelling of 301321034320 in words is "three hundred one billion, three hundred twenty-one million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 419 656 820 838 1640 1676 2095 3280 3352 4190 6704 8380 16760 17179 33520 34358 68716 85895 137432 171790 219251 274864 343580 438502 687160 877004 1096255 1374320 1754008 2192510 3508016 4385020 8770040 8989291 17540080 17978582 35957164 44946455 71914328 89892910 91866169 143828656 179785820 183732338 359571640 367464676 459330845 719143280 734929352 918661690 1469858704 1837323380 3674646760 3766512929 7349293520 7533025858 15066051716 18832564645 30132103432 37665129290 60264206864 75330258580 150660517160 301321034320