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304028676 = 223274492687
BaseRepresentation
bin10010000111110…
…001110000000100
3210012002020221100
4102013301300010
51110312404201
650100220100
710351125660
oct2207616004
9705066840
10304028676
11146686276
128599a630
134acab733
142c5418a0
151ba57886
hex121f1c04

304028676 has 72 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 86639616.

The previous prime is 304028657. The next prime is 304028701. The reversal of 304028676 is 676820403.

304028676 is a `hidden beast` number, since 304 + 0 + 286 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 304028676.

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, 111805 + ... + 114491.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2304028676 is an apocalyptic number.

304028676 is a gapful number since it is divisible by the number (36) 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 304028676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

304028676 is an abundant number, since it is smaller than the sum of its proper divisors (576560124).

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

304028676 is a wasteful number, since it uses less digits than its factorization.

304028676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 304028676 is about 17436.4180954690. The cubic root of 304028676 is about 672.4162228018.

It can be divided in two parts, 304028 and 676, that added together give a square (304704 = 5522).

The spelling of 304028676 in words is "three hundred four million, twenty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2687 2694 3143 4041 5374 5388 6286 8061 8082 9429 10748 12572 16122 16164 18809 18858 24183 28287 32244 37618 37716 48366 56427 56574 75236 96732 112854 113148 169281 225708 338562 677124 1206463 2412926 3619389 4825852 7238778 8445241 10858167 14477556 16890482 21716334 25335723 33780964 43432668 50671446 76007169 101342892 152014338 304028676