Search a number
-
+
304579272 = 233192812377
BaseRepresentation
bin10010001001111…
…000001011001000
3210020010020012210
4102021320023020
51110433014042
650120105120
710355611134
oct2211701310
9706106183
10304579272
11146a21a08
12860051a0
134b14222a
142c6463c4
151bb15a9c
hex122782c8

304579272 has 64 divisors (see below), whose sum is σ = 804715200. Its totient is φ = 95800320.

The previous prime is 304579267. The next prime is 304579273. The reversal of 304579272 is 272975403.

It is a self number, because there is not a number n which added to its sum of digits gives 304579272.

It is not an unprimeable number, because it can be changed into a prime (304579273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 126948 + ... + 129324.

It is an arithmetic number, because the mean of its divisors is an integer number (12573675).

Almost surely, 2304579272 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 304579272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402357600).

304579272 is an abundant number, since it is smaller than the sum of its proper divisors (500135928).

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

304579272 is a wasteful number, since it uses less digits than its factorization.

304579272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 304579272 is about 17452.1996321381. The cubic root of 304579272 is about 672.8218933203.

The spelling of 304579272 in words is "three hundred four million, five hundred seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 281 456 562 843 1124 1686 2248 2377 3372 4754 5339 6744 7131 9508 10678 14262 16017 19016 21356 28524 32034 42712 45163 57048 64068 90326 128136 135489 180652 270978 361304 541956 667937 1083912 1335874 2003811 2671748 4007622 5343496 8015244 12690803 16030488 25381606 38072409 50763212 76144818 101526424 152289636 304579272