Search a number
-
+
66304452 = 22319436763
BaseRepresentation
bin1111110011101…
…1100111000100
311121202121121110
43330323213010
5113433220302
610325045020
71433402304
oct374734704
9147677543
1066304452
1134477575
121a256770
1310976706
148b3d604
155c4ab6c
hex3f3b9c4

66304452 has 48 divisors (see below), whose sum is σ = 166664960. Its totient is φ = 20448288.

The previous prime is 66304439. The next prime is 66304457. The reversal of 66304452 is 25440366.

It is a super-3 number, since 3×663044523 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66304457) 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, 6423 + ... + 13185.

Almost surely, 266304452 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 66304452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83332480).

66304452 is an abundant number, since it is smaller than the sum of its proper divisors (100360508).

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

66304452 is a wasteful number, since it uses less digits than its factorization.

66304452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 66304452 is about 8142.7545707825. The cubic root of 66304452 is about 404.7444447836.

The spelling of 66304452 in words is "sixty-six million, three hundred four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 6763 9804 13526 20289 27052 40578 81156 128497 256994 290809 385491 513988 581618 770982 872427 1163236 1541964 1744854 3489708 5525371 11050742 16576113 22101484 33152226 66304452