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304740416 = 2631269571
BaseRepresentation
bin10010001010011…
…111100001000000
3210020102102021002
4102022133201000
51111003143131
650123351132
710360152011
oct2212374100
9706372232
10304740416
11147021a92
12860824a8
134b19a696
142c689008
151bb486cb
hex1229f840

304740416 has 56 divisors (see below), whose sum is σ = 627644160. Its totient is φ = 146649600.

The previous prime is 304740391. The next prime is 304740421. The reversal of 304740416 is 614047403.

It is a super-2 number, since 2×3047404162 = 185733442287706112, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 533411 + ... + 533981.

Almost surely, 2304740416 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 304740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313822080).

304740416 is an abundant number, since it is smaller than the sum of its proper divisors (322903744).

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

304740416 is a wasteful number, since it uses less digits than its factorization.

304740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 304740416 is about 17456.8157462923. The cubic root of 304740416 is about 672.9405292069.

Adding to 304740416 its reverse (614047403), we get a palindrome (918787819).

The spelling of 304740416 in words is "three hundred four million, seven hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 269 496 538 571 992 1076 1142 1984 2152 2284 4304 4568 8339 8608 9136 16678 17216 17701 18272 33356 35402 36544 66712 70804 133424 141608 153599 266848 283216 307198 533696 566432 614396 1132864 1228792 2457584 4761569 4915168 9523138 9830336 19046276 38092552 76185104 152370208 304740416