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1328432 = 24729409
BaseRepresentation
bin101000100010100110000
32111111021012
411010110300
5320002212
644250052
714201660
oct5042460
92444235
101328432
11828086
12540928
13376871
142681a0
151b3922
hex144530

1328432 has 40 divisors (see below), whose sum is σ = 3050400. Its totient is φ = 548352.

The previous prime is 1328417. The next prime is 1328447. The reversal of 1328432 is 2348231.

It is an interprime number because it is at equal distance from previous prime (1328417) and next prime (1328447).

It is a junction number, because it is equal to n+sod(n) for n = 1328398 and 1328407.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3044 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (76260).

21328432 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 1328432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525200).

1328432 is an abundant number, since it is smaller than the sum of its proper divisors (1721968).

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

1328432 is a wasteful number, since it uses less digits than its factorization.

1328432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 1328432 is about 1152.5762447665. The cubic root of 1328432 is about 109.9292106524.

The spelling of 1328432 in words is "one million, three hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 409 464 812 818 1624 1636 2863 3248 3272 5726 6544 11452 11861 22904 23722 45808 47444 83027 94888 166054 189776 332108 664216 1328432