Search a number
-
+
300714239196 = 2232729123133427
BaseRepresentation
bin1000110000000111111…
…01110010010011011100
31001202012021220010201200
410120003331302103130
514411330321123241
6350051325435500
730503656600350
oct4300375622334
91052167803650
10300714239196
11106594391828
124a34470bb90
1322484ab5257
14107a9d45460
157c502454b6
hex4603f724dc

300714239196 has 144 divisors (see below), whose sum is σ = 899443184640. Its totient is φ = 82885783680.

The previous prime is 300714239173. The next prime is 300714239233. The reversal of 300714239196 is 691932417003.

300714239196 is a `hidden beast` number, since 30 + 0 + 7 + 1 + 423 + 9 + 196 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8979435 + ... + 9012861.

Almost surely, 2300714239196 is an apocalyptic number.

300714239196 is a gapful number since it is divisible by the number (36) 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 300714239196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449721592320).

300714239196 is an abundant number, since it is smaller than the sum of its proper divisors (598728945444).

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

300714239196 is a wasteful number, since it uses less digits than its factorization.

300714239196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34704 (or 34699 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 300714239196 in words is "three hundred billion, seven hundred fourteen million, two hundred thirty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1231 1827 2436 2462 3654 3693 4924 7308 7386 8617 11079 14772 17234 22158 25851 33427 34468 35699 44316 51702 66854 71398 77553 100281 103404 107097 133708 142796 155106 200562 214194 233989 249893 300843 310212 321291 401124 428388 467978 499786 601686 642582 701967 749679 935956 969383 999572 1203372 1285164 1403934 1499358 1938766 2105901 2249037 2807868 2908149 2998716 3877532 4211802 4498074 5816298 6785681 8423604 8724447 8996148 11632596 13571362 17448894 20357043 27142724 34897788 40714086 41148637 61071129 81428172 82297274 122142258 123445911 164594548 244284516 246891822 288040459 370337733 493783644 576080918 740675466 864121377 1152161836 1193310473 1481350932 1728242754 2386620946 2592364131 3456485508 3579931419 4773241892 5184728262 7159862838 8353173311 10369456524 10739794257 14319725676 16706346622 21479588514 25059519933 33412693244 42959177028 50119039866 75178559799 100238079732 150357119598 300714239196