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328704 = 2103107
BaseRepresentation
bin1010000010000000000
3121200220020
41100100000
541004304
611013440
72536215
oct1202000
9550806
10328704
11204a62
1213a280
13b67cc
1487b0c
15675d9
hex50400

328704 has 44 divisors (see below), whose sum is σ = 884304. Its totient is φ = 108544.

The previous prime is 328687. The next prime is 328709. The reversal of 328704 is 407823.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328704.

It is not an unprimeable number, because it can be changed into a prime (328709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3019 + ... + 3125.

2328704 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 328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152).

328704 is an abundant number, since it is smaller than the sum of its proper divisors (555600).

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

328704 is a wasteful number, since it uses less digits than its factorization.

328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 328704 is about 573.3271317494. The cubic root of 328704 is about 69.0136498935.

The spelling of 328704 in words is "three hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2568 3072 3424 5136 6848 10272 13696 20544 27392 41088 54784 82176 109568 164352 328704