Search a number
-
+
741480768 = 263271731063
BaseRepresentation
bin101100001100100…
…001100101000000
31220200020010101200
4230030201211000
53004304341033
6201324301200
724242324340
oct5414414500
91820203350
10741480768
11350601526
121883a1800
13ba803c22
1470694d20
1545168013
hex2c321940

741480768 has 168 divisors, whose sum is σ = 2445276288. Its totient is φ = 210428928.

The previous prime is 741480767. The next prime is 741480781. The reversal of 741480768 is 867084147.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741480767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697005 + ... + 698067.

It is an arithmetic number, because the mean of its divisors is an integer number (14555216).

Almost surely, 2741480768 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 741480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222638144).

741480768 is an abundant number, since it is smaller than the sum of its proper divisors (1703795520).

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

741480768 is a wasteful number, since it uses less digits than its factorization.

741480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 741480768 is about 27230.1444726245. The cubic root of 741480768 is about 905.1070833679.

It can be divided in two parts, 7414807 and 68, that added together give a cube (7414875 = 1953).

The spelling of 741480768 in words is "seven hundred forty-one million, four hundred eighty thousand, seven hundred sixty-eight".