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3356288 = 27132017
BaseRepresentation
bin1100110011011010000000
320022111221222
430303122000
51324400123
6155534212
740346045
oct14633200
96274858
103356288
1119926a1
12115a368
13906890
146351cc
154646c8
hex333680

3356288 has 32 divisors (see below), whose sum is σ = 7204260. Its totient is φ = 1548288.

The previous prime is 3356273. The next prime is 3356303. The reversal of 3356288 is 8826533.

3356288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3356273) and next prime (3356303).

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 64 = 1832^2 + 8^2 .

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

It is a super-2 number, since 2×33562882 = 22529338277888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656 + ... + 2672.

Almost surely, 23356288 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 3356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602130).

3356288 is an abundant number, since it is smaller than the sum of its proper divisors (3847972).

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

3356288 is a wasteful number, since it uses less digits than its factorization.

3356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 3356288 is about 1832.0174671656. The cubic root of 3356288 is about 149.7222712809.

The spelling of 3356288 in words is "three million, three hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2017 4034 8068 16136 26221 32272 52442 64544 104884 129088 209768 258176 419536 839072 1678144 3356288