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303200512040 = 23541421439141
BaseRepresentation
bin1000110100110000010…
…10001010100000101000
31001222121120020212220002
410122120022022200220
514431423312341130
6351142143122132
730622406554256
oct4323012124050
91058546225802
10303200512040
1110764a86a378
124a9192a3348
132278cc1950a
14109642215d6
157d4865db45
hex469828a828

303200512040 has 64 divisors (see below), whose sum is σ = 700501752720. Its totient is φ = 118040832000.

The previous prime is 303200512031. The next prime is 303200512079. The reversal of 303200512040 is 40215002303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21721453924 + 281479058116 = 147382^2 + 530546^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 470870 + ... + 910010.

Almost surely, 2303200512040 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 303200512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350250876360).

303200512040 is an abundant number, since it is smaller than the sum of its proper divisors (397301240680).

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

303200512040 is a wasteful number, since it uses less digits than its factorization.

303200512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439614 (or 439610 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 303200512040 its reverse (40215002303), we get a palindrome (343415514343).

The spelling of 303200512040 in words is "three hundred three billion, two hundred million, five hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 421 820 842 1640 1684 2105 3368 4210 8420 16840 17261 34522 69044 86305 138088 172610 345220 439141 690440 878282 1756564 2195705 3513128 4391410 8782820 17565640 18004781 36009562 72019124 90023905 144038248 180047810 184878361 360095620 369756722 720191240 739513444 924391805 1479026888 1848783610 3697567220 7395134440 7580012801 15160025602 30320051204 37900064005 60640102408 75800128010 151600256020 303200512040