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303314040 = 233252713109
BaseRepresentation
bin10010000101000…
…011010001111000
3210010201221122100
4102011003101320
51110122022130
650033023400
710342061331
oct2205032170
9703657570
10303314040
11146238367
12856b4b60
134aabb383
142c3d7288
151b965c60
hex12143478

303314040 has 96 divisors (see below), whose sum is σ = 989726400. Its totient is φ = 80559360.

The previous prime is 303314029. The next prime is 303314057. The reversal of 303314040 is 40413303.

303314040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3033140402 = 183998813722243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96006 + ... + 99114.

It is an arithmetic number, because the mean of its divisors is an integer number (10309650).

Almost surely, 2303314040 is an apocalyptic number.

303314040 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 303314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494863200).

303314040 is an abundant number, since it is smaller than the sum of its proper divisors (686412360).

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

303314040 is a wasteful number, since it uses less digits than its factorization.

303314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303314040 is about 17415.9134127384. The cubic root of 303314040 is about 671.8889591187. Note that the first 3 decimals are identical.

Adding to 303314040 its reverse (40413303), we get a palindrome (343727343).

The spelling of 303314040 in words is "three hundred three million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 271 360 542 813 1084 1355 1626 2168 2439 2710 3109 3252 4065 4878 5420 6218 6504 8130 9327 9756 10840 12195 12436 15545 16260 18654 19512 24390 24872 27981 31090 32520 37308 46635 48780 55962 62180 74616 93270 97560 111924 124360 139905 186540 223848 279810 373080 559620 842539 1119240 1685078 2527617 3370156 4212695 5055234 6740312 7582851 8425390 10110468 12638085 15165702 16850780 20220936 25276170 30331404 33701560 37914255 50552340 60662808 75828510 101104680 151657020 303314040