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8342630244 = 223213211712
BaseRepresentation
bin1111100010100001…
…00110111101100100
3210112102010112020100
413301100212331210
5114041203131434
63455455304100
7413511121104
oct76120467544
923472115210
108342630244
1135a1219643
121749b1b030
13a2c518a00
14591db7204
1533c62a699
hex1f1426f64

8342630244 has 81 divisors (see below), whose sum is σ = 22854793689. Its totient is φ = 2564771040.

The previous prime is 8342630227. The next prime is 8342630279. The reversal of 8342630244 is 4420362438.

The square root of 8342630244 is 91338.

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

8342630244 is a `hidden beast` number, since 8 + 342 + 6 + 302 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1234116900 + 7108513344 = 35130^2 + 84312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8342630199 and 8342630208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7123779 + ... + 7124949.

Almost surely, 28342630244 is an apocalyptic number.

8342630244 is the 91338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342630244

8342630244 is an abundant number, since it is smaller than the sum of its proper divisors (14512163445).

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

8342630244 is a wasteful number, since it uses less digits than its factorization.

8342630244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The cubic root of 8342630244 is about 2028.1543275061.

Multiplying 8342630244 by its sum of digits (36), we get a square (300334688784 = 5480282).

8342630244 divided by its sum of digits (36) gives a square (231739729 = 152232).

The spelling of 8342630244 in words is "eight billion, three hundred forty-two million, six hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1171 1521 2028 2342 3042 3513 4684 6084 7026 10539 14052 15223 21078 30446 42156 45669 60892 91338 137007 182676 197899 274014 395798 548028 593697 791596 1187394 1371241 1781091 2374788 2742482 3562182 4113723 5484964 7124364 8227446 12341169 16454892 17826133 24682338 35652266 49364676 53478399 71304532 106956798 160435197 213913596 231739729 320870394 463479458 641740788 695219187 926958916 1390438374 2085657561 2780876748 4171315122 8342630244