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304504272 = 2435172271
BaseRepresentation
bin10010001001100…
…101110111010000
3210012222102100000
4102021211313100
51110423114042
650114330000
710355146362
oct2211456720
9705872300
10304504272
11146980626
1285b89900
134b117057
142c626d32
151baed74c
hex12265dd0

304504272 has 180 divisors, whose sum is σ = 942259136. Its totient is φ = 95178240.

The previous prime is 304504267. The next prime is 304504273. The reversal of 304504272 is 272405403.

It is a super-3 number, since 3×3045042723 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304504273) 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 35 ways as a sum of consecutive naturals, for example, 1123497 + ... + 1123767.

Almost surely, 2304504272 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 304504272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471129568).

304504272 is an abundant number, since it is smaller than the sum of its proper divisors (637754864).

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

304504272 is a wasteful number, since it uses less digits than its factorization.

304504272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 304504272 is about 17450.0507735651. The cubic root of 304504272 is about 672.7666632711.

Adding to 304504272 its reverse (272405403), we get a palindrome (576909675).

The spelling of 304504272 in words is "three hundred four million, five hundred four thousand, two hundred seventy-two".