Search a number
-
+
320385432676 = 2237276492
BaseRepresentation
bin1001010100110000111…
…01011011110001100100
31010121222012201022020011
410222120131123301210
520222122132321201
6403103311420004
732101310146561
oct4523035336144
91117865638204
10320385432676
11113969251621
1252114524604
132429b3173ca
14117146b9868
1585021b2151
hex4a9875bc64

320385432676 has 27 divisors (see below), whose sum is σ = 576312767499. Its totient is φ = 155842806528.

The previous prime is 320385432673. The next prime is 320385432677. The reversal of 320385432676 is 676234583023.

The square root of 320385432676 is 566026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4568408100 + 315817024576 = 67590^2 + 561976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320385432671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41882100 + ... + 41889748.

Almost surely, 2320385432676 is an apocalyptic number.

320385432676 is the 566026-th square number.

It is an amenable number.

320385432676 is a deficient number, since it is larger than the sum of its proper divisors (255927334823).

320385432676 is an frugal number, since it uses more digits than its factorization.

320385432676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

Multiplying 320385432676 by its sum of digits (49), we get a square (15698886201124 = 39621822).

The spelling of 320385432676 in words is "three hundred twenty billion, three hundred eighty-five million, four hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 4 37 74 148 1369 2738 5476 7649 15298 30596 283013 566026 1132052 10471481 20942962 41885924 58507201 117014402 234028804 2164766437 4329532874 8659065748 80096358169 160192716338 320385432676