Search a number
-
+
3195712 = 261323167
BaseRepresentation
bin1100001100001101000000
320000100200201
430030031000
51304230322
6152254544
736106642
oct14141500
96010621
103195712
111892a93
1210a1454
1387b770
145d2892
15431d27
hex30c340

3195712 has 56 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 1402368.

The previous prime is 3195707. The next prime is 3195739. The reversal of 3195712 is 2175913.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19053 + ... + 19219.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 23195712 is an apocalyptic number.

3195712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

3195712 is an abundant number, since it is smaller than the sum of its proper divisors (3973184).

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

3195712 is a wasteful number, since it uses less digits than its factorization.

3195712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 3195712 is about 1787.6554477863. The cubic root of 3195712 is about 147.2954091607.

The spelling of 3195712 in words is "three million, one hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 167 184 208 299 334 368 416 598 668 736 832 1196 1336 1472 2171 2392 2672 3841 4342 4784 5344 7682 8684 9568 10688 15364 17368 19136 30728 34736 49933 61456 69472 99866 122912 138944 199732 245824 399464 798928 1597856 3195712