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2343341000 = 2353711132341
BaseRepresentation
bin1000101110101100…
…1000101111001000
320001022102001112102
42023223020233020
514244343403000
61024305532532
7112033032650
oct21353105710
96038361472
102343341000
11aa2833860
12554944148
132b463b610
14183311360
15daad33d5
hex8bac8bc8

2343341000 has 256 divisors, whose sum is σ = 7365496320. Its totient is φ = 673920000.

The previous prime is 2343340963. The next prime is 2343341053. The reversal of 2343341000 is 1433432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999830 + ... + 1002170.

It is an arithmetic number, because the mean of its divisors is an integer number (28771470).

Almost surely, 22343341000 is an apocalyptic number.

2343341000 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 2343341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682748160).

2343341000 is an abundant number, since it is smaller than the sum of its proper divisors (5022155320).

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

2343341000 is a wasteful number, since it uses less digits than its factorization.

2343341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2343341000 is about 48408.0675094555. The cubic root of 2343341000 is about 1328.2459398980.

Adding to 2343341000 its reverse (1433432), we get a palindrome (2344774432).

It can be divided in two parts, 2343 and 341000, that added together give a palindrome (343343).

The spelling of 2343341000 in words is "two billion, three hundred forty-three million, three hundred forty-one thousand".