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3311328 = 253172029
BaseRepresentation
bin1100101000011011100000
320020020021210
430220123200
51321430303
6154550120
740101006
oct14503340
96206253
103311328
111961939
121138340
138bc287
14622a76
15456203
hex3286e0

3311328 has 48 divisors (see below), whose sum is σ = 9208080. Its totient is φ = 1038336.

The previous prime is 3311317. The next prime is 3311359. The reversal of 3311328 is 8231133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (191835).

Almost surely, 23311328 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 3311328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604040).

3311328 is an abundant number, since it is smaller than the sum of its proper divisors (5896752).

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

3311328 is a wasteful number, since it uses less digits than its factorization.

3311328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2051 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 3311328 is about 1819.7054706738. The cubic root of 3311328 is about 149.0507161859.

The spelling of 3311328 in words is "three million, three hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2029 4058 6087 8116 12174 16232 24348 32464 34493 48696 64928 68986 97392 103479 137972 194784 206958 275944 413916 551888 827832 1103776 1655664 3311328