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3325728 = 25373101
BaseRepresentation
bin1100101011111100100000
320020222001010
430223330200
51322410403
6155140520
740161000
oct14537440
96228033
103325728
11197173a
121144740
138c59b3
14628000
1545a603
hex32bf20

3325728 has 96 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 940800.

The previous prime is 3325717. The next prime is 3325733. The reversal of 3325728 is 8275233.

3325728 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33257282 = 22120933459968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3325695 and 3325704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32878 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

Almost surely, 23325728 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 3325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3325728 is an abundant number, since it is smaller than the sum of its proper divisors (6955872).

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

3325728 is a wasteful number, since it uses less digits than its factorization.

3325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 3325728 is about 1823.6578626486. The cubic root of 3325728 is about 149.2664631161.

The spelling of 3325728 in words is "three million, three hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 101 112 147 168 196 202 224 294 303 336 343 392 404 588 606 672 686 707 784 808 1029 1176 1212 1372 1414 1568 1616 2058 2121 2352 2424 2744 2828 3232 4116 4242 4704 4848 4949 5488 5656 8232 8484 9696 9898 10976 11312 14847 16464 16968 19796 22624 29694 32928 33936 34643 39592 59388 67872 69286 79184 103929 118776 138572 158368 207858 237552 277144 415716 475104 554288 831432 1108576 1662864 3325728