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3300052 = 2272113149
BaseRepresentation
bin1100100101101011010100
320012122211011
430211223110
51321100202
6154422004
740023100
oct14455324
96178734
103300052
111954418
121131904
138b70c2
1461c900
15452bd7
hex325ad4

3300052 has 36 divisors (see below), whose sum is σ = 6822900. Its totient is φ = 1392384.

The previous prime is 3300041. The next prime is 3300061. The reversal of 3300052 is 2500033.

3300052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 188356 + 3111696 = 434^2 + 1764^2 .

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, 22074 + ... + 22222.

It is an arithmetic number, because the mean of its divisors is an integer number (189525).

Almost surely, 23300052 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 3300052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411450).

3300052 is an abundant number, since it is smaller than the sum of its proper divisors (3522848).

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

3300052 is a wasteful number, since it uses less digits than its factorization.

3300052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 3300052 is about 1816.6045249311. The cubic root of 3300052 is about 148.8813372902.

Adding to 3300052 its reverse (2500033), we get a palindrome (5800085).

The spelling of 3300052 in words is "three million, three hundred thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 98 113 149 196 226 298 452 596 791 1043 1582 2086 3164 4172 5537 7301 11074 14602 16837 22148 29204 33674 67348 117859 235718 471436 825013 1650026 3300052