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2345411424 = 2532959109131
BaseRepresentation
bin1000101111001100…
…0010001101100000
320001110022020121210
42023303002031200
514300411131144
61024422150120
7112056445116
oct21363021540
96043266553
102345411424
11aa3a18354
12555582340
132b4bb4b15
141836cdab6
15dad91ab9
hex8bcc2360

2345411424 has 192 divisors, whose sum is σ = 6586272000. Its totient is φ = 729630720.

The previous prime is 2345411417. The next prime is 2345411441. The reversal of 2345411424 is 4241145432.

It is a junction number, because it is equal to n+sod(n) for n = 2345411391 and 2345411400.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17903839 + ... + 17903969.

It is an arithmetic number, because the mean of its divisors is an integer number (34303500).

Almost surely, 22345411424 is an apocalyptic number.

2345411424 is a gapful number since it is divisible by the number (24) 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 2345411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136000).

2345411424 is an abundant number, since it is smaller than the sum of its proper divisors (4240860576).

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

2345411424 is a wasteful number, since it uses less digits than its factorization.

2345411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 2345411424 is about 48429.4479010447. The cubic root of 2345411424 is about 1328.6370087114.

Adding to 2345411424 its reverse (4241145432), we get a palindrome (6586556856).

The spelling of 2345411424 in words is "two billion, three hundred forty-five million, four hundred eleven thousand, four hundred twenty-four".