Search a number
-
+
300630160 = 24519972039
BaseRepresentation
bin10001111010110…
…100000010010000
3202221200121001101
4101322310002100
51103430131120
645455314144
710310212525
oct2172640220
9687617041
10300630160
11144774986
128481b954
134a38b88c
142bcd914c
151b5d590a
hex11eb4090

300630160 has 80 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 112693248.

The previous prime is 300630137. The next prime is 300630181. The reversal of 300630160 is 61036003.

It is a happy number.

300630160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146421 + ... + 148459.

It is an arithmetic number, because the mean of its divisors is an integer number (9296280).

Almost surely, 2300630160 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 300630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

300630160 is an abundant number, since it is smaller than the sum of its proper divisors (443072240).

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

300630160 is a wasteful number, since it uses less digits than its factorization.

300630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 300630160 is about 17338.6896852098. The cubic root of 300630160 is about 669.9013443512.

Adding to 300630160 its reverse (61036003), we get a palindrome (361666163).

The spelling of 300630160 in words is "three hundred million, six hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 380 388 485 760 776 970 1520 1552 1843 1940 2039 3686 3880 4078 7372 7760 8156 9215 10195 14744 16312 18430 20390 29488 32624 36860 38741 40780 73720 77482 81560 147440 154964 163120 193705 197783 309928 387410 395566 619856 774820 791132 988915 1549640 1582264 1977830 3099280 3164528 3757877 3955660 7515754 7911320 15031508 15822640 18789385 30063016 37578770 60126032 75157540 150315080 300630160