Search a number
-
+
300227400 = 2332521159257
BaseRepresentation
bin10001111001010…
…001101101001000
3202220221010120100
4101321101231020
51103324234100
645442525400
710303614354
oct2171215510
9686833510
10300227400
1114451a320
1284666860
134a27a465
142bc32464
151b556400
hex11e51b48

300227400 has 288 divisors, whose sum is σ = 1122919200. Its totient is φ = 71270400.

The previous prime is 300227393. The next prime is 300227443. The reversal of 300227400 is 4722003.

It is a happy number.

It is a super-3 number, since 3×3002274003 (a number of 26 digits) contains 333 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 1168072 + ... + 1168328.

It is an arithmetic number, because the mean of its divisors is an integer number (3899025).

Almost surely, 2300227400 is an apocalyptic number.

300227400 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 300227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561459600).

300227400 is an abundant number, since it is smaller than the sum of its proper divisors (822691800).

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

300227400 is a wasteful number, since it uses less digits than its factorization.

300227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 300227400 is about 17327.0713047531. The cubic root of 300227400 is about 669.6020507553.

Adding to 300227400 its reverse (4722003), we get a palindrome (304949403).

The spelling of 300227400 in words is "three hundred million, two hundred twenty-seven thousand, four hundred".