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423613440 = 21032529317
BaseRepresentation
bin11001001111111…
…101010000000000
31002112002210101200
4121033331100000
51331421112230
6110011301200
713332440415
oct3117752000
91075083350
10423613440
111a8134058
12b9a4a800
13699bb653
144039010c
15272ca160
hex193fd400

423613440 has 264 divisors, whose sum is σ = 1523213640. Its totient is φ = 108724224.

The previous prime is 423613427. The next prime is 423613441. The reversal of 423613440 is 44316324.

423613440 is a `hidden beast` number, since 4 + 2 + 3 + 613 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 422055936 = 1248^2 + 20544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423613441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1336162 + ... + 1336478.

Almost surely, 2423613440 is an apocalyptic number.

423613440 is a gapful number since it is divisible by the number (40) 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 423613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761606820).

423613440 is an abundant number, since it is smaller than the sum of its proper divisors (1099600200).

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

423613440 is a wasteful number, since it uses less digits than its factorization.

423613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 423613440 is about 20581.8716350093. The cubic root of 423613440 is about 751.0287748512.

Adding to 423613440 its reverse (44316324), we get a palindrome (467929764).

The spelling of 423613440 in words is "four hundred twenty-three million, six hundred thirteen thousand, four hundred forty".