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3239328 = 25341823
BaseRepresentation
bin1100010110110110100000
320002120112010
430112312200
51312124303
6153232520
736351051
oct14266640
96076463
103239328
111912834
121102740
13895581
14604728
1543ec03
hex316da0

3239328 has 48 divisors (see below), whose sum is σ = 8721216. Its totient is φ = 1052160.

The previous prime is 3239311. The next prime is 3239347. The reversal of 3239328 is 8239323.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3239295 and 3239304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3525 + ... + 4347.

It is an arithmetic number, because the mean of its divisors is an integer number (181692).

Almost surely, 23239328 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 3239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360608).

3239328 is an abundant number, since it is smaller than the sum of its proper divisors (5481888).

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

3239328 is a wasteful number, since it uses less digits than its factorization.

3239328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 3239328 is about 1799.8133236533. The cubic root of 3239328 is about 147.9624935394.

The spelling of 3239328 in words is "three million, two hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 823 984 1312 1646 1968 2469 3292 3936 4938 6584 9876 13168 19752 26336 33743 39504 67486 79008 101229 134972 202458 269944 404916 539888 809832 1079776 1619664 3239328