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1328288 = 251331103
BaseRepresentation
bin101000100010010100000
32111111001212
411010102200
5320001123
644245252
714201363
oct5042240
92444055
101328288
11827a65
12540828
13376790
142680da
151b3878
hex1444a0

1328288 has 48 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 587520.

The previous prime is 1328279. The next prime is 1328297. The reversal of 1328288 is 8828231.

It is an interprime number because it is at equal distance from previous prime (1328279) and next prime (1328297).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12845 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

21328288 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 1328288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

1328288 is an abundant number, since it is smaller than the sum of its proper divisors (1607008).

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

1328288 is a wasteful number, since it uses less digits than its factorization.

1328288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 1328288 is about 1152.5137743212. The cubic root of 1328288 is about 109.9252384560.

The spelling of 1328288 in words is "one million, three hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 103 104 124 206 208 248 403 412 416 496 806 824 992 1339 1612 1648 2678 3193 3224 3296 5356 6386 6448 10712 12772 12896 21424 25544 41509 42848 51088 83018 102176 166036 332072 664144 1328288