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1682328 = 233191367
BaseRepresentation
bin110011010101110011000
310011110201110
412122232120
5412313303
6100020320
720204514
oct6325630
93143643
101682328
11a49a5a
126916a0
1346b97b
1431b144
15233703
hex19ab98

1682328 has 32 divisors (see below), whose sum is σ = 4239360. Its totient is φ = 556320.

The previous prime is 1682311. The next prime is 1682333. The reversal of 1682328 is 8232861.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 68 + 8 + 2 + 37 + 2 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 1682295 and 1682304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4401 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (132480).

21682328 is an apocalyptic number.

It is an amenable number.

1682328 is an abundant number, since it is smaller than the sum of its proper divisors (2557032).

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

1682328 is a wasteful number, since it uses less digits than its factorization.

1682328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1682328 is about 1297.0458742851. The cubic root of 1682328 is about 118.9333242284.

The spelling of 1682328 in words is "one million, six hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 191 367 382 573 734 764 1101 1146 1468 1528 2202 2292 2936 4404 4584 8808 70097 140194 210291 280388 420582 560776 841164 1682328