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304503040 = 2852331021
BaseRepresentation
bin10010001001100…
…101100100000000
3210012222100122101
4102021211210000
51110423044130
650114320144
710355142652
oct2211454400
9705870571
10304503040
1114697a706
1285b89054
134b11661a
142c6266d2
151baed1ca
hex12265900

304503040 has 72 divisors (see below), whose sum is σ = 733227768. Its totient is φ = 121159680.

The previous prime is 304502993. The next prime is 304503047. The reversal of 304503040 is 40305403.

It can be written as a sum of positive squares in 4 ways, for example, as 12503296 + 291999744 = 3536^2 + 17088^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 304502999 and 304503017.

It is not an unprimeable number, because it can be changed into a prime (304503047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297730 + ... + 298750.

It is an arithmetic number, because the mean of its divisors is an integer number (10183719).

Almost surely, 2304503040 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 304503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366613884).

304503040 is an abundant number, since it is smaller than the sum of its proper divisors (428724728).

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

304503040 is a wasteful number, since it uses less digits than its factorization.

304503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 304503040 is about 17450.0154727725. The cubic root of 304503040 is about 672.7657559498.

Adding to 304503040 its reverse (40305403), we get a palindrome (344808443).

The spelling of 304503040 in words is "three hundred four million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 640 932 1021 1165 1280 1864 2042 2330 3728 4084 4660 5105 7456 8168 9320 10210 14912 16336 18640 20420 29824 32672 37280 40840 59648 65344 74560 81680 130688 149120 163360 237893 261376 298240 326720 475786 653440 951572 1189465 1306880 1903144 2378930 3806288 4757860 7612576 9515720 15225152 19031440 30450304 38062880 60900608 76125760 152251520 304503040