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299244960 = 25325724241
BaseRepresentation
bin10001110101100…
…001110110100000
3202212002012220200
4101311201312200
51103101314320
645405505200
710262353200
oct2165416640
9685065820
10299244960
11143a09193
1284272200
1349cc5231
142ba58400
151b410290
hex11d61da0

299244960 has 216 divisors, whose sum is σ = 1188175716. Its totient is φ = 68382720.

The previous prime is 299244949. The next prime is 299244989. The reversal of 299244960 is 69442992.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 279424656 + 19820304 = 16716^2 + 4452^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 68440 + ... + 72680.

Almost surely, 2299244960 is an apocalyptic number.

299244960 is a gapful number since it is divisible by the number (20) 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 299244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594087858).

299244960 is an abundant number, since it is smaller than the sum of its proper divisors (888930756).

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

299244960 is a wasteful number, since it uses less digits than its factorization.

299244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 299244960 is about 17298.6982169179. The cubic root of 299244960 is about 668.8708686530.

The spelling of 299244960 in words is "two hundred ninety-nine million, two hundred forty-four thousand, nine hundred sixty".