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128304 = 243611
BaseRepresentation
bin11111010100110000
320112000000
4133110300
513101204
62430000
71043031
oct372460
9215000
10128304
1188440
1262300
1346527
1434a88
1528039
hex1f530

128304 has 70 divisors (see below), whose sum is σ = 406596. Its totient is φ = 38880.

The previous prime is 128291. The next prime is 128311. The reversal of 128304 is 403821.

It is a happy number.

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

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11659 + ... + 11669.

2128304 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 128304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203298).

128304 is an abundant number, since it is smaller than the sum of its proper divisors (278292).

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

128304 is an equidigital number, since it uses as much as digits as its factorization.

128304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

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

The square root of 128304 is about 358.1954773584. The cubic root of 128304 is about 50.4367079518.

The spelling of 128304 in words is "one hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3564 3888 4752 5346 5832 7128 8019 10692 11664 14256 16038 21384 32076 42768 64152 128304