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299300096 = 281797709
BaseRepresentation
bin10001110101101…
…111010100000000
3202212012000112202
4101311233110000
51103110100341
645411012332
710263003014
oct2165572400
9685160482
10299300096
11143a46657
128429a0a8
134a014364
142ba70544
151b42179b
hex11d6f500

299300096 has 72 divisors (see below), whose sum is σ = 639996840. Its totient is φ = 139198464.

The previous prime is 299300087. The next prime is 299300107. The reversal of 299300096 is 690003992.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 271590400 = 5264^2 + 16480^2 .

It is a super-5 number, since 5×2993000965 (a number of 44 digits) contains 55555 as substring.

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 7 ways as a sum of consecutive naturals, for example, 421790 + ... + 422498.

It is an arithmetic number, because the mean of its divisors is an integer number (8888845).

Almost surely, 2299300096 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 299300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319998420).

299300096 is an abundant number, since it is smaller than the sum of its proper divisors (340696744).

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

299300096 is an equidigital number, since it uses as much as digits as its factorization.

299300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 299300096 is about 17300.2917894468. The cubic root of 299300096 is about 668.9119460360.

The spelling of 299300096 in words is "two hundred ninety-nine million, three hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 388 544 709 776 1088 1418 1552 1649 2176 2836 3104 3298 4352 5672 6208 6596 11344 12053 12416 13192 22688 24106 24832 26384 45376 48212 52768 68773 90752 96424 105536 137546 181504 192848 211072 275092 385696 422144 550184 771392 1100368 1169141 1542784 2200736 2338282 3085568 4401472 4676564 8802944 9353128 17605888 18706256 37412512 74825024 149650048 299300096