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664343020 = 2251129313359
BaseRepresentation
bin100111100110010…
…001000111101100
31201022002010022001
4213212101013230
52330032434040
6145531102044
722314552055
oct4746210754
91638063261
10664343020
11311005820
121665a1924
13a78365a3
146433572c
153d4cc59a
hex279911ec

664343020 has 96 divisors (see below), whose sum is σ = 1625702400. Its totient is φ = 225657600.

The previous prime is 664343011. The next prime is 664343021. The reversal of 664343020 is 20343466.

664343020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 664343020.

It is not an unprimeable number, because it can be changed into a prime (664343021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196101 + ... + 199459.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2664343020 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 664343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

664343020 is an abundant number, since it is smaller than the sum of its proper divisors (961359380).

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

664343020 is a wasteful number, since it uses less digits than its factorization.

664343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 664343020 is about 25774.8524729047. The cubic root of 664343020 is about 872.5643370920.

Adding to 664343020 its reverse (20343466), we get a palindrome (684686486).

The spelling of 664343020 in words is "six hundred sixty-four million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 55 58 62 110 116 124 145 155 220 290 310 319 341 580 620 638 682 899 1276 1364 1595 1705 1798 3190 3359 3410 3596 4495 6380 6718 6820 8990 9889 13436 16795 17980 19778 33590 36949 39556 49445 67180 73898 97411 98890 104129 147796 184745 194822 197780 208258 369490 389644 416516 487055 520645 738980 974110 1041290 1071521 1145419 1948220 2082580 2143042 2290838 3019741 4286084 4581676 5357605 5727095 6039482 10715210 11454190 12078964 15098705 21430420 22908380 30197410 33217151 60394820 66434302 132868604 166085755 332171510 664343020