Search a number
-
+
300400204344 = 2332911327713789
BaseRepresentation
bin1000101111100010011…
…11110101101000111000
31001201101101222111220020
410113301033311220320
514410204423014334
6350000230530440
730463124415012
oct4276117655070
91051341874806
10300400204344
111064430a1799
124a277506a20
1322434a12206
141077a35b1b2
157c328b2e49
hex45f13f5a38

300400204344 has 128 divisors (see below), whose sum is σ = 786658824000. Its totient is φ = 95472082944.

The previous prime is 300400204339. The next prime is 300400204397. The reversal of 300400204344 is 443402004003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21778602 + ... + 21792390.

Almost surely, 2300400204344 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 300400204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393329412000).

300400204344 is an abundant number, since it is smaller than the sum of its proper divisors (486258619656).

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

300400204344 is a wasteful number, since it uses less digits than its factorization.

300400204344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 300400204344 its reverse (443402004003), we get a palindrome (743802208347).

The spelling of 300400204344 in words is "three hundred billion, four hundred million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 174 226 232 277 339 348 452 554 678 696 831 904 1108 1356 1662 2216 2712 3277 3324 6554 6648 8033 9831 13108 13789 16066 19662 24099 26216 27578 31301 32132 39324 41367 48198 55156 62602 64264 78648 82734 93903 96396 110312 125204 165468 187806 192792 250408 330936 375612 399881 751224 799762 907729 1199643 1558157 1599524 1815458 2399286 2723187 3116314 3199048 3630916 3819553 4674471 4798572 5446374 6232628 7261832 7639106 9348942 9597144 10892748 11458659 12465256 15278212 18697884 21785496 22917318 30556424 37395768 45186553 45834636 90373106 91669272 110767037 135559659 180746212 221534074 271119318 332301111 361492424 431609489 443068148 542238636 664602222 863218978 886136296 1084477272 1294828467 1329204444 1726437956 2589656934 2658408888 3452875912 5179313868 10358627736 12516675181 25033350362 37550025543 50066700724 75100051086 100133401448 150200102172 300400204344