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304053376 = 27112341229
BaseRepresentation
bin10010000111110…
…111110010000000
3210012010111211011
4102013313302000
51110314202001
650100530304
710351260664
oct2207676200
9705114734
10304053376
111466a2890
12859b0994
134acb9a53
142c54a8a4
151ba5ed51
hex121f7c80

304053376 has 128 divisors (see below), whose sum is σ = 709430400. Its totient is φ = 128409600.

The previous prime is 304053331. The next prime is 304053377. The reversal of 304053376 is 673350403.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (304053377) by changing a digit.

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, 1327630 + ... + 1327858.

It is an arithmetic number, because the mean of its divisors is an integer number (5542425).

Almost surely, 2304053376 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 304053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354715200).

304053376 is an abundant number, since it is smaller than the sum of its proper divisors (405377024).

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

304053376 is a wasteful number, since it uses less digits than its factorization.

304053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The square root of 304053376 is about 17437.1263687570. The cubic root of 304053376 is about 672.4344318637.

The spelling of 304053376 in words is "three hundred four million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 128 164 176 184 229 253 328 352 368 451 458 506 656 704 736 902 916 943 1012 1312 1408 1472 1804 1832 1886 2024 2519 2624 2944 3608 3664 3772 4048 5038 5248 5267 7216 7328 7544 8096 9389 10076 10373 10534 14432 14656 15088 16192 18778 20152 20746 21068 28864 29312 30176 32384 37556 40304 41492 42136 57728 57937 60352 75112 80608 82984 84272 103279 115874 120704 150224 161216 165968 168544 206558 215947 231748 300448 322432 331936 337088 413116 431894 463496 600896 663872 674176 826232 863788 926992 1201792 1327744 1652464 1727576 1853984 2375417 3304928 3455152 3707968 4750834 6609856 6910304 7415936 9501668 13219712 13820608 19003336 27641216 38006672 76013344 152026688 304053376