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1328004 = 223237997
BaseRepresentation
bin101000100001110000100
32111110200100
411010032010
5314444004
644244100
714200506
oct5041604
92443610
101328004
11827827
12540630
13376602
14267d76
151b3739
hex144384

1328004 has 36 divisors (see below), whose sum is σ = 3451084. Its totient is φ = 430272.

The previous prime is 1328003. The next prime is 1328017. The reversal of 1328004 is 4008231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 161604 = 1080^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1830.

21328004 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 1328004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725542).

1328004 is an abundant number, since it is smaller than the sum of its proper divisors (2123080).

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

1328004 is a wasteful number, since it uses less digits than its factorization.

1328004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1039 counting only the distinct ones).

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

The square root of 1328004 is about 1152.3905587951. The cubic root of 1328004 is about 109.9174035605.

The spelling of 1328004 in words is "one million, three hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 997 1332 1994 2991 3988 5982 8973 11964 17946 35892 36889 73778 110667 147556 221334 332001 442668 664002 1328004