Search a number
-
+
300313024 = 261117231091
BaseRepresentation
bin10001111001100…
…110100111000000
3202221002111000121
4101321212213000
51103340004044
645444430024
710304422114
oct2171464700
9687074017
10300313024
11144578690
12846a8314
134a2aa41b
142bc55744
151b571984
hex11e669c0

300313024 has 112 divisors (see below), whose sum is σ = 718937856. Its totient is φ = 122777600.

The previous prime is 300313019. The next prime is 300313043. The reversal of 300313024 is 420313003.

300313024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 300312989 and 300313007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 274719 + ... + 275809.

It is an arithmetic number, because the mean of its divisors is an integer number (6419088).

Almost surely, 2300313024 is an apocalyptic number.

300313024 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 300313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359468928).

300313024 is an abundant number, since it is smaller than the sum of its proper divisors (418624832).

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

300313024 is a wasteful number, since it uses less digits than its factorization.

300313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 300313024 is about 17329.5419443216. The cubic root of 300313024 is about 669.6657009045.

Adding to 300313024 its reverse (420313003), we get a palindrome (720626027).

The spelling of 300313024 in words is "three hundred million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 136 176 184 187 253 272 352 368 374 391 506 544 704 736 748 782 1012 1088 1091 1472 1496 1564 2024 2182 2992 3128 4048 4301 4364 5984 6256 8096 8602 8728 11968 12001 12512 16192 17204 17456 18547 24002 25024 25093 34408 34912 37094 48004 50186 68816 69824 74188 96008 100372 137632 148376 192016 200744 204017 275264 276023 296752 384032 401488 408034 426581 552046 593504 768064 802976 816068 853162 1104092 1187008 1605952 1632136 1706324 2208184 3264272 3412648 4416368 4692391 6528544 6825296 8832736 9384782 13057088 13650592 17665472 18769564 27301184 37539128 75078256 150156512 300313024