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11040320340 = 22325722514987
BaseRepresentation
bin10100100100000110…
…11110101101010100
31001111102022101100100
422102003132231110
5140102310222330
65023304214100
7540406113600
oct122203365524
931442271310
1011040320340
114755a78095
12218146a330
13106c3a3c3a
1476a3a8500
154493a6060
hex2920deb54

11040320340 has 216 divisors, whose sum is σ = 39119607072. Its totient is φ = 2512944000.

The previous prime is 11040320339. The next prime is 11040320383. The reversal of 11040320340 is 4302304011.

11040320340 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 320 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2211327 + ... + 2216313.

It is an arithmetic number, because the mean of its divisors is an integer number (181109292).

Almost surely, 211040320340 is an apocalyptic number.

11040320340 is a gapful number since it is divisible by the number (10) 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 11040320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559803536).

11040320340 is an abundant number, since it is smaller than the sum of its proper divisors (28079286732).

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

11040320340 is a wasteful number, since it uses less digits than its factorization.

11040320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11040320340 its reverse (4302304011), we get a palindrome (15342624351).

The spelling of 11040320340 in words is "eleven billion, forty million, three hundred twenty thousand, three hundred forty".