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300228768 = 2534716547
BaseRepresentation
bin10001111001010…
…010000010100000
3202220221012110000
4101321102002200
51103324310033
645442540000
710303621350
oct2171220240
9686835400
10300228768
11144520354
1284667600
134a27ac78
142bc32b60
151b556a13
hex11e520a0

300228768 has 120 divisors (see below), whose sum is σ = 1009163232. Its totient is φ = 85774464.

The previous prime is 300228751. The next prime is 300228811. The reversal of 300228768 is 867822003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9871 + ... + 26417.

Almost surely, 2300228768 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 300228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504581616).

300228768 is an abundant number, since it is smaller than the sum of its proper divisors (708934464).

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

300228768 is a wasteful number, since it uses less digits than its factorization.

300228768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16576 (or 16559 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 300228768 is about 17327.1107805081. The cubic root of 300228768 is about 669.6030677780.

The spelling of 300228768 in words is "three hundred million, two hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 16547 18144 33094 49641 66188 99282 115829 132376 148923 198564 231658 264752 297846 347487 397128 446769 463316 529504 595692 694974 794256 893538 926632 1042461 1191384 1340307 1389948 1588512 1787076 1853264 2084922 2382768 2680614 2779896 3127383 3574152 3706528 4169844 4765536 5361228 5559792 6254766 7148304 8339688 9382149 10722456 11119584 12509532 14296608 16679376 18764298 21444912 25019064 33358752 37528596 42889824 50038128 75057192 100076256 150114384 300228768