Search a number
-
+
2390943744 = 2113472971
BaseRepresentation
bin1000111010000010…
…1110100000000000
320011121222112020000
42032200232200000
514344040144434
61033130120000
7113151454320
oct21640564000
96147875200
102390943744
111017697472
12568880000
132c1467817
14189783280
15ded87b99
hex8e82e800

2390943744 has 480 divisors, whose sum is σ = 8562153600. Its totient is φ = 650280960.

The previous prime is 2390943703. The next prime is 2390943781. The reversal of 2390943744 is 4473490932.

It is a super-2 number, since 2×23909437442 = 11433223973945475072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2390943744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33675229 + ... + 33675299.

It is an arithmetic number, because the mean of its divisors is an integer number (17837820).

Almost surely, 22390943744 is an apocalyptic number.

2390943744 is a gapful number since it is divisible by the number (24) 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 2390943744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281076800).

2390943744 is an abundant number, since it is smaller than the sum of its proper divisors (6171209856).

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

2390943744 is an equidigital number, since it uses as much as digits as its factorization.

2390943744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2390943744 is about 48897.2774702232. The cubic root of 2390943744 is about 1337.1797341196.

The spelling of 2390943744 in words is "two billion, three hundred ninety million, nine hundred forty-three thousand, seven hundred forty-four".