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1340230320 = 2433511134339
BaseRepresentation
bin100111111100010…
…0100101010110000
310110101212202101000
41033320210222300
510221044332240
6340553442000
745132525012
oct11770445260
93411782330
101340230320
11628585970
12314a10300
131848825c0
14c9dd41b2
157c9da430
hex4fe24ab0

1340230320 has 320 divisors, whose sum is σ = 5424652800. Its totient is φ = 299842560.

The previous prime is 1340230301. The next prime is 1340230327. The reversal of 1340230320 is 230320431.

1340230320 is a `hidden beast` number, since 1 + 340 + 2 + 3 + 0 + 320 = 666.

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 = 1340230293 and 1340230302.

It is not an unprimeable number, because it can be changed into a prime (1340230327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306711 + ... + 311049.

It is an arithmetic number, because the mean of its divisors is an integer number (16952040).

Almost surely, 21340230320 is an apocalyptic number.

1340230320 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 1340230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712326400).

1340230320 is an abundant number, since it is smaller than the sum of its proper divisors (4084422480).

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

1340230320 is a wasteful number, since it uses less digits than its factorization.

1340230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4373 counting only the distinct ones).

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

The square root of 1340230320 is about 36609.1562317407. The cubic root of 1340230320 is about 1102.5369324478.

Adding to 1340230320 its reverse (230320431), we get a palindrome (1570550751).

The spelling of 1340230320 in words is "one billion, three hundred forty million, two hundred thirty thousand, three hundred twenty".