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1240434216 = 233372233503
BaseRepresentation
bin100100111101111…
…1000011000101000
310012110002120212000
41021323320120220
510020022343331
6323030451000
742511342200
oct11173703050
93173076760
101240434216
1158721364a
122a7503a60
13169cb0858
14baa57400
1573d760e6
hex49ef8628

1240434216 has 192 divisors, whose sum is σ = 4033411200. Its totient is φ = 352187136.

The previous prime is 1240434211. The next prime is 1240434259. The reversal of 1240434216 is 6124340421.

It is a happy number.

1240434216 is a `hidden beast` number, since 12 + 4 + 0 + 434 + 216 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1240434216.

It is not an unprimeable number, because it can be changed into a prime (1240434211) 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, 2465821 + ... + 2466323.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 21240434216 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 1240434216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

1240434216 is an abundant number, since it is smaller than the sum of its proper divisors (2792976984).

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

1240434216 is a wasteful number, since it uses less digits than its factorization.

1240434216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1240434216 is about 35219.7986365624. The cubic root of 1240434216 is about 1074.4624580601.

Adding to 1240434216 its reverse (6124340421), we get a palindrome (7364774637).

The spelling of 1240434216 in words is "one billion, two hundred forty million, four hundred thirty-four thousand, two hundred sixteen".