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3283328 = 27113227
BaseRepresentation
bin1100100001100110000000
320011210212202
430201212000
51320031303
6154212332
736623246
oct14414600
96153782
103283328
1119428a4
1211240a8
138ac5c9
14616796
1544cc88
hex321980

3283328 has 32 divisors (see below), whose sum is σ = 6627960. Its totient is φ = 1619968.

The previous prime is 3283327. The next prime is 3283337. The reversal of 3283328 is 8233823.

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

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3283328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14351 + ... + 14577.

Almost surely, 23283328 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 3283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313980).

3283328 is an abundant number, since it is smaller than the sum of its proper divisors (3344632).

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

3283328 is a wasteful number, since it uses less digits than its factorization.

3283328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 3283328 is about 1811.9955849836. The cubic root of 3283328 is about 148.6294110117.

The spelling of 3283328 in words is "three million, two hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 227 452 454 904 908 1808 1816 3616 3632 7232 7264 14464 14528 25651 29056 51302 102604 205208 410416 820832 1641664 3283328