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3033728 = 27137173
BaseRepresentation
bin1011100100101010000000
312201010111022
423210222000
51234034403
6145005012
734533455
oct13445200
95633438
103033728
111792315
121023768
13822b09
1458d82c
153edd38
hex2e4a80

3033728 has 32 divisors (see below), whose sum is σ = 6123060. Its totient is φ = 1497088.

The previous prime is 3033727. The next prime is 3033731. The reversal of 3033728 is 8273303.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 238144 = 1672^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3033697 and 3033706.

It is not an unprimeable number, because it can be changed into a prime (3033727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17450 + ... + 17622.

Almost surely, 23033728 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 3033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061530).

3033728 is an abundant number, since it is smaller than the sum of its proper divisors (3089332).

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

3033728 is a wasteful number, since it uses less digits than its factorization.

3033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3033728 is about 1741.7600293956. The cubic root of 3033728 is about 144.7634351067.

The spelling of 3033728 in words is "three million, thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 173 274 346 548 692 1096 1384 2192 2768 4384 5536 8768 11072 17536 22144 23701 47402 94804 189608 379216 758432 1516864 3033728