Search a number
-
+
304203144320 = 27510112313823
BaseRepresentation
bin1000110110100111110…
…10111001110010000000
31002002012102212212210222
410123103322321302000
514441002001104240
6351425441042212
730656303030405
oct4332372716200
91062172785728
10304203144320
11108014820899
124ab59026368
13228bc86885a
1410a1b4562ac
157da66aeeb5
hex46d3eb9c80

304203144320 has 128 divisors (see below), whose sum is σ = 735224878080. Its totient is φ = 120347136000.

The previous prime is 304203144253. The next prime is 304203144331. The reversal of 304203144320 is 23441302403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 304203144320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79569929 + ... + 79573751.

It is an arithmetic number, because the mean of its divisors is an integer number (5743944360).

Almost surely, 2304203144320 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 304203144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367612439040).

304203144320 is an abundant number, since it is smaller than the sum of its proper divisors (431021733760).

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

304203144320 is a wasteful number, since it uses less digits than its factorization.

304203144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 304203144320 its reverse (23441302403), we get a palindrome (327644446723).

The spelling of 304203144320 in words is "three hundred four billion, two hundred three million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1231 1616 2020 2462 3232 3823 4040 4924 6155 6464 7646 8080 9848 12310 12928 15292 16160 19115 19696 24620 30584 32320 38230 39392 49240 61168 64640 76460 78784 98480 122336 124331 152920 157568 196960 244672 248662 305840 386123 393920 489344 497324 611680 621655 772246 787840 994648 1223360 1243310 1544492 1930615 1989296 2446720 2486620 3088984 3861230 3978592 4706113 4973240 6177968 7722460 7957184 9412226 9946480 12355936 15444920 15914368 18824452 19892960 23530565 24711872 30889840 37648904 39785920 47061130 49423744 61779680 75297808 79571840 94122260 123559360 150595616 188244520 247118720 301191232 376489040 475317413 602382464 752978080 950634826 1505956160 1901269652 2376587065 3011912320 3802539304 4753174130 7605078608 9506348260 15210157216 19012696520 30420314432 38025393040 60840628864 76050786080 152101572160 304203144320