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3093728 = 251121747
BaseRepresentation
bin1011110011010011100000
312211011210112
423303103200
51242444403
6150150452
735203421
oct13632340
95734715
103093728
111823400
121052428
13844211
145a7648
154119d8
hex2f34e0

3093728 has 72 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 1295360.

The previous prime is 3093709. The next prime is 3093733. The reversal of 3093728 is 8273903.

3093728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3093694 and 3093703.

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 11 ways as a sum of consecutive naturals, for example, 65801 + ... + 65847.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

Almost surely, 23093728 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 3093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

3093728 is an abundant number, since it is smaller than the sum of its proper divisors (4145728).

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

3093728 is a wasteful number, since it uses less digits than its factorization.

3093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 3093728 is about 1758.8996560350. The cubic root of 3093728 is about 145.7115716893.

The spelling of 3093728 in words is "three million, ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 47 68 88 94 121 136 176 187 188 242 272 352 374 376 484 517 544 748 752 799 968 1034 1496 1504 1598 1936 2057 2068 2992 3196 3872 4114 4136 5687 5984 6392 8228 8272 8789 11374 12784 16456 16544 17578 22748 25568 32912 35156 45496 65824 70312 90992 96679 140624 181984 193358 281248 386716 773432 1546864 3093728