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304040464 = 24713216063
BaseRepresentation
bin10010000111110…
…100101000010000
3210012002212002221
4102013310220100
51110313243324
650100350424
710351205230
oct2207645020
9705085087
10304040464
11146694112
12859a5414
134acb3c00
142c545cc0
151ba5b0e4
hex121f4a10

304040464 has 60 divisors (see below), whose sum is σ = 729048576. Its totient is φ = 120272256.

The previous prime is 304040459. The next prime is 304040479. The reversal of 304040464 is 464040403.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 10897 + ... + 26959.

Almost surely, 2304040464 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 304040464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364524288).

304040464 is an abundant number, since it is smaller than the sum of its proper divisors (425008112).

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

304040464 is a wasteful number, since it uses less digits than its factorization.

304040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 304040464 is about 17436.7561203339. The cubic root of 304040464 is about 672.4249131443.

Adding to 304040464 its reverse (464040403), we get a palindrome (768080867).

The spelling of 304040464 in words is "three hundred four million, forty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 9464 16063 18928 32126 64252 112441 128504 208819 224882 257008 417638 449764 835276 899528 1461733 1670552 1799056 2714647 2923466 3341104 5429294 5846932 10858588 11693864 19002529 21717176 23387728 38005058 43434352 76010116 152020232 304040464