Search a number
-
+
304869664 = 2511278737
BaseRepresentation
bin10010001010111…
…111000100100000
3210020122222120001
4102022333010200
51111021312124
650130225344
710361230561
oct2212770440
9706588501
10304869664
11147100100
1286125254
134b214468
142c6c0168
151bb71b44
hex122bf120

304869664 has 36 divisors (see below), whose sum is σ = 659745702. Its totient is φ = 138575360.

The previous prime is 304869641. The next prime is 304869667. The reversal of 304869664 is 466968403.

It can be written as a sum of positive squares in only one way, i.e., 299013264 + 5856400 = 17292^2 + 2420^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304869667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35497 + ... + 43240.

Almost surely, 2304869664 is an apocalyptic number.

It is an amenable number.

304869664 is an abundant number, since it is smaller than the sum of its proper divisors (354876038).

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

304869664 is a wasteful number, since it uses less digits than its factorization.

304869664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78769 (or 78750 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 304869664 is about 17460.5172890152. The cubic root of 304869664 is about 673.0356527061.

It can be divided in two parts, 304 and 869664, that added together give a palindrome (869968).

The spelling of 304869664 in words is "three hundred four million, eight hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 78737 157474 314948 629896 866107 1259792 1732214 2519584 3464428 6928856 9527177 13857712 19054354 27715424 38108708 76217416 152434832 304869664