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302830000 = 2454112753
BaseRepresentation
bin10010000011001…
…101000110110000
3210002211100122221
4102003031012300
51110011030000
650014410424
710335004204
oct2203150660
9702740587
10302830000
11145a37730
1285500a14
134a97bc65
142c30cb04
151b8bc61a
hex120cd1b0

302830000 has 100 divisors (see below), whose sum is σ = 800125128. Its totient is φ = 110080000.

The previous prime is 302829997. The next prime is 302830001. The reversal of 302830000 is 38203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302830001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 108624 + ... + 111376.

Almost surely, 2302830000 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 302830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400062564).

302830000 is an abundant number, since it is smaller than the sum of its proper divisors (497295128).

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

302830000 is a wasteful number, since it uses less digits than its factorization.

302830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 302830000 is about 17402.0113779988. The cubic root of 302830000 is about 671.5313602360.

Adding to 302830000 its reverse (38203), we get a palindrome (302868203).

The spelling of 302830000 in words is "three hundred two million, eight hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 2753 4400 5000 5500 5506 6875 10000 11000 11012 13750 13765 22000 22024 27500 27530 30283 44048 55000 55060 60566 68825 110000 110120 121132 137650 151415 220240 242264 275300 302830 344125 484528 550600 605660 688250 757075 1101200 1211320 1376500 1514150 1720625 2422640 2753000 3028300 3441250 3785375 5506000 6056600 6882500 7570750 12113200 13765000 15141500 18926875 27530000 30283000 37853750 60566000 75707500 151415000 302830000