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2344343040 = 29335132609
BaseRepresentation
bin1000101110111011…
…1101011000000000
320001101021222002000
42023232331120000
514300122434130
61024343224000
7112044405234
oct21356753000
96041258060
102344343040
11aa3358696
12555148000
132b48cc740
141834d25c4
15dac30260
hex8bbbd600

2344343040 has 320 divisors, whose sum is σ = 8971300800. Its totient is φ = 576847872.

The previous prime is 2344343021. The next prime is 2344343047. The reversal of 2344343040 is 403434432.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 2344342995 and 2344343013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344343047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897256 + ... + 899864.

It is an arithmetic number, because the mean of its divisors is an integer number (28035315).

Almost surely, 22344343040 is an apocalyptic number.

2344343040 is a gapful number since it is divisible by the number (20) 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 2344343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485650400).

2344343040 is an abundant number, since it is smaller than the sum of its proper divisors (6626957760).

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

2344343040 is a wasteful number, since it uses less digits than its factorization.

2344343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2344343040 is about 48418.4163309789. The cubic root of 2344343040 is about 1328.4352374146.

Adding to 2344343040 its reverse (403434432), we get a palindrome (2747777472).

The spelling of 2344343040 in words is "two billion, three hundred forty-four million, three hundred forty-three thousand, forty".