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2290343040 = 273654909
BaseRepresentation
bin1000100010000011…
…1101110010000000
312220121200111000000
42020200331302000
514142311434130
61015134000000
7110520410646
oct21040756200
95817614000
102290343040
11a75925697
1253b046000
132a667378b
1417a277196
15d6115260
hex8883dc80

2290343040 has 224 divisors, whose sum is σ = 8210943900. Its totient is φ = 610633728.

The previous prime is 2290343039. The next prime is 2290343053. The reversal of 2290343040 is 403430922.

It is a happy number.

2290343040 is a `hidden beast` number, since 229 + 0 + 3 + 430 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2116736064 + 173606976 = 46008^2 + 13176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2290342995 and 2290343013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 464106 + ... + 469014.

Almost surely, 22290343040 is an apocalyptic number.

2290343040 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 2290343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105471950).

2290343040 is an abundant number, since it is smaller than the sum of its proper divisors (5920600860).

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

2290343040 is an frugal number, since it uses more digits than its factorization.

2290343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2290343040 is about 47857.5285613455. The cubic root of 2290343040 is about 1318.1561031614.

Adding to 2290343040 its reverse (403430922), we get a palindrome (2693773962).

The spelling of 2290343040 in words is "two billion, two hundred ninety million, three hundred forty-three thousand, forty".