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640350032 = 24724091997
BaseRepresentation
bin100110001010101…
…111011101010000
31122121221011002212
4212022233131100
52302412200112
6143312531252
721603612500
oct4612573520
91577834085
10640350032
112a9508503
1215a550b28
13a288585a
146108ba00
153b33d522
hex262af750

640350032 has 60 divisors (see below), whose sum is σ = 1447491060. Its totient is φ = 273627648.

The previous prime is 640350031. The next prime is 640350089. The reversal of 640350032 is 230053046.

640350032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 275692816 + 364657216 = 16604^2 + 19096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640350031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319658 + ... + 321654.

It is an arithmetic number, because the mean of its divisors is an integer number (24124851).

Almost surely, 2640350032 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 640350032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723745530).

640350032 is an abundant number, since it is smaller than the sum of its proper divisors (807141028).

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

640350032 is a wasteful number, since it uses less digits than its factorization.

640350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 640350032 is about 25305.1384505203. The cubic root of 640350032 is about 861.9309559383.

The spelling of 640350032 in words is "six hundred forty million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 409 784 818 1636 1997 2863 3272 3994 5726 6544 7988 11452 13979 15976 20041 22904 27958 31952 40082 45808 55916 80164 97853 111832 160328 195706 223664 320656 391412 782824 816773 1565648 1633546 3267092 5717411 6534184 11434822 13068368 22869644 40021877 45739288 80043754 91478576 160087508 320175016 640350032