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1232320320 = 263257115557
BaseRepresentation
bin100100101110011…
…1011011101000000
310011212211100200100
41021130323131000
510010433222240
6322140522400
742352356420
oct11134733500
93155740610
101232320320
11582681550
122a4850400
131683cc62a
14b9944480
15732c1e30
hex4973b740

1232320320 has 336 divisors, whose sum is σ = 5285524608. Its totient is φ = 256020480.

The previous prime is 1232320303. The next prime is 1232320321. The reversal of 1232320320 is 230232321.

It is a happy number.

1232320320 is a `hidden beast` number, since 1 + 2 + 323 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12323203202 = 3037226742169804800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1232320293 and 1232320302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232320321) 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, 218982 + ... + 224538.

It is an arithmetic number, because the mean of its divisors is an integer number (15730728).

Almost surely, 21232320320 is an apocalyptic number.

1232320320 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 1232320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642762304).

1232320320 is an abundant number, since it is smaller than the sum of its proper divisors (4053204288).

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

1232320320 is a wasteful number, since it uses less digits than its factorization.

1232320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1232320320 is about 35104.4202344947. The cubic root of 1232320320 is about 1072.1145826880.

Adding to 1232320320 its reverse (230232321), we get a palindrome (1462552641).

The spelling of 1232320320 in words is "one billion, two hundred thirty-two million, three hundred twenty thousand, three hundred twenty".