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3190928 = 241323229
BaseRepresentation
bin1100001011000010010000
320000010010112
430023002100
51304102203
6152220452
736056666
oct14130220
96003115
103190928
11188a434
12109a728
13879530
145d0c36
154306d8
hex30b090

3190928 has 60 divisors (see below), whose sum is σ = 7200060. Its totient is φ = 1360128.

The previous prime is 3190919. The next prime is 3190949. The reversal of 3190928 is 8290913.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 2166784 = 1012^2 + 1472^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3190894 and 3190903.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 110018 + ... + 110046.

It is an arithmetic number, because the mean of its divisors is an integer number (120001).

Almost surely, 23190928 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 3190928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600030).

3190928 is an abundant number, since it is smaller than the sum of its proper divisors (4009132).

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

3190928 is a wasteful number, since it uses less digits than its factorization.

3190928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 3190928 is about 1786.3168811832. The cubic root of 3190928 is about 147.2218717500.

The spelling of 3190928 in words is "three million, one hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 29 46 52 58 92 104 116 184 208 232 299 368 377 464 529 598 667 754 1058 1196 1334 1508 2116 2392 2668 3016 4232 4784 5336 6032 6877 8464 8671 10672 13754 15341 17342 27508 30682 34684 55016 61364 69368 110032 122728 138736 199433 245456 398866 797732 1595464 3190928