Search a number
-
+
300203204 = 22731761211
BaseRepresentation
bin10001111001001…
…011110011000100
3202220212220101012
4101321023303010
51103323000304
645442221352
710303454000
oct2171136304
9686786335
10300203204
11144503124
1284654858
134a26c442
142bc27700
151b54e16e
hex11e4bcc4

300203204 has 96 divisors (see below), whose sum is σ = 662457600. Its totient is φ = 118540800.

The previous prime is 300203203. The next prime is 300203207. The reversal of 300203204 is 402302003.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (300203203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422659 + ... + 1422869.

It is an arithmetic number, because the mean of its divisors is an integer number (6900600).

Almost surely, 2300203204 is an apocalyptic number.

300203204 is a gapful number since it is divisible by the number (34) 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 300203204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331228800).

300203204 is an abundant number, since it is smaller than the sum of its proper divisors (362254396).

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

300203204 is a wasteful number, since it uses less digits than its factorization.

300203204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 300203204 is about 17326.3730769022. The cubic root of 300203204 is about 669.5840620280.

Adding to 300203204 its reverse (402302003), we get a palindrome (702505207).

The spelling of 300203204 in words is "three hundred million, two hundred three thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 61 68 98 119 122 196 211 238 244 343 422 427 476 686 833 844 854 1037 1372 1477 1666 1708 2074 2954 2989 3332 3587 4148 5831 5908 5978 7174 7259 10339 11662 11956 12871 14348 14518 20678 20923 23324 25109 25742 29036 41356 41846 50218 50813 51484 72373 83692 90097 100436 101626 144746 175763 180194 203252 218807 289492 351526 355691 360388 437614 630679 703052 711382 875228 1230341 1261358 1422764 1531649 2460682 2522716 3063298 4414753 4921364 6126596 8829506 10721543 17659012 21443086 42886172 75050801 150101602 300203204