Search a number
-
+
7294379040 = 25325131722921
BaseRepresentation
bin1101100101100011…
…10110010000100000
3200211100122211220200
412302301312100200
5104414330112130
63203451505200
7345522125124
oct66261662040
920740584820
107294379040
113103539a33
1214b6a58200
138c32b6420
144d2aa9584
152ca5b7760
hex1b2c76420

7294379040 has 288 divisors, whose sum is σ = 28384954416. Its totient is φ = 1689845760.

The previous prime is 7294379009. The next prime is 7294379047. The reversal of 7294379040 is 409734927.

It can be written as a sum of positive squares in 8 ways, for example, as 2686141584 + 4608237456 = 51828^2 + 67884^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7294379047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306780 + ... + 329700.

Almost surely, 27294379040 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 7294379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192477208).

7294379040 is an abundant number, since it is smaller than the sum of its proper divisors (21090575376).

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

7294379040 is a wasteful number, since it uses less digits than its factorization.

7294379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22972 (or 22961 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7294379040 is about 85407.1369383145. The cubic root of 7294379040 is about 1939.3793884061.

The spelling of 7294379040 in words is "seven billion, two hundred ninety-four million, three hundred seventy-nine thousand, forty".