Search a number
-
+
304475472 = 24327232571
BaseRepresentation
bin10010001001011…
…110110101010000
3210012220221211100
4102021132311100
51110421203342
650113544400
710354666410
oct2211366520
9705827740
10304475472
11146960a24
1285b75100
134b106c02
142c61a640
151bae4e4c
hex1225ed50

304475472 has 180 divisors, whose sum is σ = 1019802784. Its totient is φ = 83064960.

The previous prime is 304475441. The next prime is 304475533. The reversal of 304475472 is 274574403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 532947 + ... + 533517.

Almost surely, 2304475472 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 304475472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509901392).

304475472 is an abundant number, since it is smaller than the sum of its proper divisors (715327312).

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

304475472 is a wasteful number, since it uses less digits than its factorization.

304475472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 304475472 is about 17449.2255415534. The cubic root of 304475472 is about 672.7454525224.

The spelling of 304475472 in words is "three hundred four million, four hundred seventy-five thousand, four hundred seventy-two".