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2342040320 = 28519235379
BaseRepresentation
bin1000101110011000…
…1011001100000000
320001012221222100002
42023212023030000
514244030242240
61024222015132
7112016004614
oct21346131400
96035858302
102342040320
11aa2025614
125544174a8
132b42a4599
14183093344
15da927d15
hex8b98b300

2342040320 has 288 divisors, whose sum is σ = 6357657600. Its totient is φ = 822362112.

The previous prime is 2342040313. The next prime is 2342040347. The reversal of 2342040320 is 230402432.

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

It is a junction number, because it is equal to n+sod(n) for n = 2342040292 and 2342040301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29646041 + ... + 29646119.

It is an arithmetic number, because the mean of its divisors is an integer number (22075200).

Almost surely, 22342040320 is an apocalyptic number.

2342040320 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 2342040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178828800).

2342040320 is an abundant number, since it is smaller than the sum of its proper divisors (4015617280).

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

2342040320 is a wasteful number, since it uses less digits than its factorization.

2342040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2342040320 is about 48394.6311071796. The cubic root of 2342040320 is about 1328.0001451589. Note that the first 3 decimals are identical.

Adding to 2342040320 its reverse (230402432), we get a palindrome (2572442752).

The spelling of 2342040320 in words is "two billion, three hundred forty-two million, forty thousand, three hundred twenty".