Search a number
-
+
303240231240 = 233523690715907
BaseRepresentation
bin1000110100110101000…
…01101011100101001000
31001222201022222211101120
410122122201223211020
514432013444344430
6351150122315240
730623401302552
oct4323241534510
91058638884346
10303240231240
11107670228a61
124a92a658b20
13227982152bb
14109696004d2
157d4bda7610
hex469a86b948

303240231240 has 128 divisors (see below), whose sum is σ = 949470888960. Its totient is φ = 77332172544.

The previous prime is 303240231193. The next prime is 303240231269. The reversal of 303240231240 is 42132042303.

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

It is a self number, because there is not a number n which added to its sum of digits gives 303240231240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19055367 + ... + 19071273.

It is an arithmetic number, because the mean of its divisors is an integer number (7417741320).

Almost surely, 2303240231240 is an apocalyptic number.

303240231240 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 303240231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474735444480).

303240231240 is an abundant number, since it is smaller than the sum of its proper divisors (646230657720).

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

303240231240 is a wasteful number, since it uses less digits than its factorization.

303240231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22851 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 303240231240 its reverse (42132042303), we get a palindrome (345372273543).

The spelling of 303240231240 in words is "three hundred three billion, two hundred forty million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 6907 13814 15907 20721 27628 31814 34535 41442 47721 55256 63628 69070 79535 82884 95442 103605 127256 138140 158861 159070 165768 190884 207210 238605 276280 317722 318140 365861 381768 414420 476583 477210 635444 636280 731722 794305 828840 953166 954420 1097583 1270888 1463444 1588610 1829305 1906332 1908840 2195166 2382915 2926888 3177220 3658610 3812664 4390332 4765830 5487915 6354440 7317220 8780664 9531660 10975830 14634440 19063320 21951660 43903320 109869649 219739298 329608947 439478596 549348245 659217894 878957192 1098696490 1318435788 1648044735 2197392980 2527001927 2636871576 3296089470 4394785960 5054003854 6592178940 7581005781 10108007708 12635009635 13184357880 15162011562 20216015416 25270019270 30324023124 37905028905 50540038540 60648046248 75810057810 101080077080 151620115620 303240231240