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3205072 = 241319811
BaseRepresentation
bin1100001110011111010000
320000211112101
430032133100
51310030242
6152410144
736146143
oct14163720
96024471
103205072
11189a022
1210a6954
13882ac0
145d605a
154349b7
hex30e7d0

3205072 has 40 divisors (see below), whose sum is σ = 7048160. Its totient is φ = 1399680.

The previous prime is 3205063. The next prime is 3205087. The reversal of 3205072 is 2705023.

It is a happy number.

3205072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 7 ways as a sum of consecutive naturals, for example, 3547 + ... + 4357.

It is an arithmetic number, because the mean of its divisors is an integer number (176204).

Almost surely, 23205072 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 3205072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524080).

3205072 is an abundant number, since it is smaller than the sum of its proper divisors (3843088).

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

3205072 is a wasteful number, since it uses less digits than its factorization.

3205072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 3205072 is about 1790.2714877917. The cubic root of 3205072 is about 147.4390747136.

The spelling of 3205072 in words is "three million, two hundred five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 811 988 1622 1976 3244 3952 6488 10543 12976 15409 21086 30818 42172 61636 84344 123272 168688 200317 246544 400634 801268 1602536 3205072