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304128 = 2103311
BaseRepresentation
bin1001010010000000000
3120110012000
41022100000
534213003
610304000
72404446
oct1122000
9513160
10304128
11198550
12128000
13a8576
147cb96
15601a3
hex4a400

304128 has 88 divisors (see below), whose sum is σ = 982560. Its totient is φ = 92160.

The previous prime is 304127. The next prime is 304151. The reversal of 304128 is 821403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 304128.

It is not an unprimeable number, because it can be changed into a prime (304127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27643 + ... + 27653.

2304128 is an apocalyptic number.

304128 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491280).

304128 is an abundant number, since it is smaller than the sum of its proper divisors (678432).

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

304128 is a wasteful number, since it uses less digits than its factorization.

304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 304128 is about 551.4780140677. The cubic root of 304128 is about 67.2489439357.

The spelling of 304128 in words is "three hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1024 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3072 3168 3456 4224 4608 4752 5632 6336 6912 8448 9216 9504 11264 12672 13824 16896 19008 25344 27648 33792 38016 50688 76032 101376 152064 304128