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3328640 = 2757743
BaseRepresentation
bin1100101100101010000000
320021010000222
430230222000
51323004030
6155202212
740202330
oct14545200
96233028
103328640
111973947
121146368
138c7113
146290c0
1545b3e5
hex32ca80

3328640 has 64 divisors (see below), whose sum is σ = 9106560. Its totient is φ = 1139712.

The previous prime is 3328621. The next prime is 3328679. The reversal of 3328640 is 468233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33286402 = 22159688499200, which contains 22 as substring.

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, 4109 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 23328640 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 3328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

3328640 is an abundant number, since it is smaller than the sum of its proper divisors (5777920).

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

3328640 is an equidigital number, since it uses as much as digits as its factorization.

3328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3328640 is about 1824.4560833300. The cubic root of 3328640 is about 149.3100162007.

The spelling of 3328640 in words is "three million, three hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 743 896 1120 1486 2240 2972 3715 4480 5201 5944 7430 10402 11888 14860 20804 23776 26005 29720 41608 47552 52010 59440 83216 95104 104020 118880 166432 208040 237760 332864 416080 475520 665728 832160 1664320 3328640