Search a number
-
+
385030584 = 23353753101
BaseRepresentation
bin10110111100110…
…001100110111000
3222211111120200000
4112330301212320
51242031434314
6102112313000
712353464101
oct2674614670
9884446600
10385030584
111883811a4
12a8b42760
13619ccb63
14391c93a8
1523c08209
hex16f319b8

385030584 has 192 divisors, whose sum is σ = 1142799840. Its totient is φ = 121305600.

The previous prime is 385030579. The next prime is 385030601. The reversal of 385030584 is 485030583.

385030584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3812134 + ... + 3812234.

Almost surely, 2385030584 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 385030584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571399920).

385030584 is an abundant number, since it is smaller than the sum of its proper divisors (757769256).

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

385030584 is a wasteful number, since it uses less digits than its factorization.

385030584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385030584 is about 19622.1962073566. The cubic root of 385030584 is about 727.4978977514.

Subtracting 385030584 from its reverse (485030583), we obtain a palindrome (99999999).

The spelling of 385030584 in words is "three hundred eighty-five million, thirty thousand, five hundred eighty-four".