Search a number
-
+
304450080 = 253511232109
BaseRepresentation
bin10010001001011…
…000101000100000
3210012212122222220
4102021120220200
51110414400310
650113231040
710354532364
oct2211305040
9705778886
10304450080
11146943940
1285b62480
134b0c849c
142c6112a4
151badc670
hex12258a20

304450080 has 288 divisors, whose sum is σ = 1103699520. Its totient is φ = 69949440.

The previous prime is 304450079. The next prime is 304450087. The reversal of 304450080 is 80054403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 304450080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304450087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793066 + ... + 2793174.

It is an arithmetic number, because the mean of its divisors is an integer number (3832290).

Almost surely, 2304450080 is an apocalyptic number.

304450080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551849760).

304450080 is an abundant number, since it is smaller than the sum of its proper divisors (799249440).

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

304450080 is a wasteful number, since it uses less digits than its factorization.

304450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 304450080 is about 17448.4979296213. The cubic root of 304450080 is about 672.7267506028.

The spelling of 304450080 in words is "three hundred four million, four hundred fifty thousand, eighty".