Search a number
-
+
300080214 = 2357212601
BaseRepresentation
bin10001111000101…
…101110001010110
3202220122122200000
4101320231301112
51103310031324
645435432130
710302432300
oct2170556126
9686578600
10300080214
11144429785
12845b5646
134a228475
142bbd4970
151b5279c9
hex11e2dc56

300080214 has 72 divisors (see below), whose sum is σ = 784398888. Its totient is φ = 85730400.

The previous prime is 300080177. The next prime is 300080219. The reversal of 300080214 is 412080003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300080219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17514 + ... + 30114.

It is an arithmetic number, because the mean of its divisors is an integer number (10894429).

Almost surely, 2300080214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300080214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392199444).

300080214 is an abundant number, since it is smaller than the sum of its proper divisors (484318674).

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

300080214 is a wasteful number, since it uses less digits than its factorization.

300080214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 12613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 300080214 is about 17322.8234996492. The cubic root of 300080214 is about 669.4926090927.

The spelling of 300080214 in words is "three hundred million, eighty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3969 7938 11907 12601 23814 25202 37803 75606 88207 113409 176414 226818 264621 340227 529242 617449 680454 793863 1020681 1234898 1587726 1852347 2041362 2381589 3062043 3704694 4763178 5557041 6124086 7144767 11114082 14289534 16671123 21434301 33342246 42868602 50013369 100026738 150040107 300080214