Search a number
-
+
648343432 = 2311157167281
BaseRepresentation
bin100110101001001…
…110111110001000
31200011222020222201
4212221032332020
52311433442212
6144200125544
722031554042
oct4651167610
91604866881
10648343432
11302a78020
121611668b4
13a4423c89
146216ca92
153bdbbb57
hex26a4ef88

648343432 has 64 divisors (see below), whose sum is σ = 1347373440. Its totient is φ = 290035200.

The previous prime is 648343391. The next prime is 648343439. The reversal of 648343432 is 234343846.

648343432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 648343391 and 648343400.

It is not an unprimeable number, because it can be changed into a prime (648343439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307132 + ... + 2307412.

It is an arithmetic number, because the mean of its divisors is an integer number (21052710).

Almost surely, 2648343432 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 648343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673686720).

648343432 is an abundant number, since it is smaller than the sum of its proper divisors (699030008).

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

648343432 is a wasteful number, since it uses less digits than its factorization.

648343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

The square root of 648343432 is about 25462.5888707335. The cubic root of 648343432 is about 865.5025900785.

The spelling of 648343432 in words is "six hundred forty-eight million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 157 167 281 314 334 562 628 668 1124 1256 1336 1727 1837 2248 3091 3454 3674 6182 6908 7348 12364 13816 14696 24728 26219 44117 46927 52438 88234 93854 104876 176468 187708 209752 288409 352936 375416 485287 516197 576818 970574 1032394 1153636 1941148 2064788 2307272 3882296 4129576 7367539 14735078 29470156 58940312 81042929 162085858 324171716 648343432