Search a number
-
+
641675034 = 235711131319
BaseRepresentation
bin100110001111110…
…010111100011010
31122201102110200000
4212033302330122
52303232100114
6143401153430
721621101460
oct4617627432
91581373600
10641675034
112aa232a50
1215aa8b876
13a2c2a990
1461314830
153b500e09
hex263f2f1a

641675034 has 192 divisors, whose sum is σ = 1937295360. Its totient is φ = 153731520.

The previous prime is 641675033. The next prime is 641675039. The reversal of 641675034 is 430576146.

It is a happy number.

641675034 is a `hidden beast` number, since 641 + 6 + 7 + 5 + 0 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 641675034.

It is not an unprimeable number, because it can be changed into a prime (641675033) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 485827 + ... + 487145.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2641675034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641675034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968647680).

641675034 is an abundant number, since it is smaller than the sum of its proper divisors (1295620326).

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

641675034 is a wasteful number, since it uses less digits than its factorization.

641675034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 641675034 is about 25331.3054144472. The cubic root of 641675034 is about 862.5250442633.

The spelling of 641675034 in words is "six hundred forty-one million, six hundred seventy-five thousand, thirty-four".