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300334112 = 25131136389
BaseRepresentation
bin10001111001101…
…011110000100000
3202221010112221122
4101321223300200
51103341142422
645445111412
710304540441
oct2171536040
9687115848
10300334112
11144592511
12846b8568
134a2b6bc0
142bc5d2c8
151b577d42
hex11e6bc20

300334112 has 48 divisors (see below), whose sum is σ = 642501720. Its totient is φ = 137367552.

The previous prime is 300334091. The next prime is 300334117. The reversal of 300334112 is 211433003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24641296 + 275692816 = 4964^2 + 16604^2 .

It is not an unprimeable number, because it can be changed into a prime (300334117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43814 + ... + 50202.

Almost surely, 2300334112 is an apocalyptic number.

300334112 is a gapful number since it is divisible by the number (32) 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 300334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321250860).

300334112 is an abundant number, since it is smaller than the sum of its proper divisors (342167608).

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

300334112 is a wasteful number, since it uses less digits than its factorization.

300334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 300334112 is about 17330.1503744197. The cubic root of 300334112 is about 669.6813751939.

Adding to 300334112 its reverse (211433003), we get a palindrome (511767115).

The spelling of 300334112 in words is "three hundred million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1808 2938 3616 5876 6389 11752 12778 23504 25556 47008 51112 83057 102224 166114 204448 332228 664456 721957 1328912 1443914 2657824 2887828 5775656 9385441 11551312 18770882 23102624 37541764 75083528 150167056 300334112