Search a number
-
+
2390290440 = 2335171983743
BaseRepresentation
bin1000111001111000…
…1111000000001000
320011120202100001120
42032132033000020
514343403243230
61033104115240
7113143063536
oct21636170010
96146670046
102390290440
11101729064a
12568605b20
132c1299355
14189653156
15deca9310
hex8e78f008

2390290440 has 256 divisors, whose sum is σ = 8099481600. Its totient is φ = 560738304.

The previous prime is 2390290417. The next prime is 2390290471. The reversal of 2390290440 is 440920932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3216709 + ... + 3217451.

It is an arithmetic number, because the mean of its divisors is an integer number (31638600).

Almost surely, 22390290440 is an apocalyptic number.

2390290440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2390290440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2390290440 is an abundant number, since it is smaller than the sum of its proper divisors (5709191160).

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

2390290440 is a wasteful number, since it uses less digits than its factorization.

2390290440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2390290440 is about 48890.5966418901. The cubic root of 2390290440 is about 1337.0579322231.

The spelling of 2390290440 in words is "two billion, three hundred ninety million, two hundred ninety thousand, four hundred forty".