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304049440 = 2554146349
BaseRepresentation
bin10010000111110…
…110110100100000
3210012010022102101
4102013312310200
51110314040230
650100500144
710351243342
oct2207666440
9705108371
10304049440
1114669a932
12859aa654
134acb8016
142c549292
151ba5daca
hex121f6d20

304049440 has 48 divisors (see below), whose sum is σ = 735852600. Its totient is φ = 118650880.

The previous prime is 304049429. The next prime is 304049509. The reversal of 304049440 is 44940403.

It can be written as a sum of positive squares in 4 ways, for example, as 112614544 + 191434896 = 10612^2 + 13836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 304049399 and 304049408.

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 7 ways as a sum of consecutive naturals, for example, 16615 + ... + 29734.

Almost surely, 2304049440 is an apocalyptic number.

It is an amenable number.

304049440 is an abundant number, since it is smaller than the sum of its proper divisors (431803160).

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

304049440 is a wasteful number, since it uses less digits than its factorization.

304049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46405 (or 46397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 304049440 is about 17437.0135057584. The cubic root of 304049440 is about 672.4315302752.

Adding to 304049440 its reverse (44940403), we get a palindrome (348989843).

The spelling of 304049440 in words is "three hundred four million, forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 46349 92698 185396 231745 370792 463490 741584 926980 1483168 1853960 1900309 3707920 3800618 7415840 7601236 9501545 15202472 19003090 30404944 38006180 60809888 76012360 152024720 304049440