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303013040 = 245112231361
BaseRepresentation
bin10010000011111…
…001110010110000
3210010011122202012
4102003321302300
51110032404130
650022342052
710336365641
oct2203716260
9703148665
10303013040
11146052200
128558a928
134aa14375
142c3596c8
151b906995
hex120f9cb0

303013040 has 120 divisors (see below), whose sum is σ = 808635744. Its totient is φ = 105318400.

The previous prime is 303013037. The next prime is 303013057. The reversal of 303013040 is 40310303.

It is a happy number.

303013040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221960 + ... + 223320.

Almost surely, 2303013040 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 303013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404317872).

303013040 is an abundant number, since it is smaller than the sum of its proper divisors (505622704).

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

303013040 is a wasteful number, since it uses less digits than its factorization.

303013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 303013040 is about 17407.2697457126. The cubic root of 303013040 is about 671.6666312280. Note that the first 4 decimals are identical.

Adding to 303013040 its reverse (40310303), we get a palindrome (343323343).

The spelling of 303013040 in words is "three hundred three million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 121 176 184 220 230 242 253 368 440 460 484 506 605 880 920 968 1012 1210 1265 1361 1840 1936 2024 2420 2530 2722 2783 4048 4840 5060 5444 5566 6805 9680 10120 10888 11132 13610 13915 14971 20240 21776 22264 27220 27830 29942 31303 44528 54440 55660 59884 62606 74855 108880 111320 119768 125212 149710 156515 164681 222640 239536 250424 299420 313030 329362 344333 500848 598840 626060 658724 688666 823405 1197680 1252120 1317448 1377332 1646810 1721665 2504240 2634896 2754664 3293620 3443330 3787663 5509328 6587240 6886660 7575326 13174480 13773320 15150652 18938315 27546640 30301304 37876630 60602608 75753260 151506520 303013040