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303240420 = 223257234381
BaseRepresentation
bin10010000100110…
…001010011100100
3210010121012122200
4102010301103210
51110112143140
650031254500
710341333600
oct2204612344
9703535580
10303240420
1114619801a
128567a430
134aa93a02
142c3b8500
151b94e030
hex121314e4

303240420 has 108 divisors (see below), whose sum is σ = 1070036604. Its totient is φ = 69310080.

The previous prime is 303240409. The next prime is 303240433. The reversal of 303240420 is 24042303.

303240420 is a `hidden beast` number, since 3 + 0 + 3 + 240 + 420 = 666.

303240420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 238887936 = 8022^2 + 15456^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 303240393 and 303240402.

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 35 ways as a sum of consecutive naturals, for example, 8371 + ... + 26010.

Almost surely, 2303240420 is an apocalyptic number.

303240420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303240420 is an abundant number, since it is smaller than the sum of its proper divisors (766796184).

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

303240420 is a wasteful number, since it uses less digits than its factorization.

303240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34410 (or 34398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 303240420 is about 17413.7997002377. The cubic root of 303240420 is about 671.8345947073.

Adding to 303240420 its reverse (24042303), we get a palindrome (327282723).

The spelling of 303240420 in words is "three hundred three million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 34381 68762 103143 137524 171905 206286 240667 309429 343810 412572 481334 515715 618858 687620 722001 962668 1031430 1203335 1237716 1444002 1547145 1684669 2062860 2166003 2406670 2888004 3094290 3369338 3610005 4332006 4813340 5054007 6188580 6738676 7220010 8423345 8664012 10108014 10830015 14440020 15162021 16846690 20216028 21660030 25270035 30324042 33693380 43320060 50540070 60648084 75810105 101080140 151620210 303240420