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1328704 = 26131597
BaseRepresentation
bin101000100011001000000
32111111122021
411010121000
5320004304
644251224
714202526
oct5043100
92444567
101328704
11828303
12540b14
13376a20
14268316
151b3a54
hex144640

1328704 has 28 divisors (see below), whose sum is σ = 2841244. Its totient is φ = 612864.

The previous prime is 1328699. The next prime is 1328711. The reversal of 1328704 is 4078231.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 1098304 = 480^2 + 1048^2 .

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 1630.

It is an arithmetic number, because the mean of its divisors is an integer number (101473).

21328704 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 1328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420622).

1328704 is an abundant number, since it is smaller than the sum of its proper divisors (1512540).

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

1328704 is a wasteful number, since it uses less digits than its factorization.

1328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1328704 is about 1152.6942352593. The cubic root of 1328704 is about 109.9367129069.

It can be divided in two parts, 132 and 8704, that added together give a square (8836 = 942).

The spelling of 1328704 in words is "one million, three hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1597 3194 6388 12776 20761 25552 41522 51104 83044 102208 166088 332176 664352 1328704