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2144300340 = 2235713607647
BaseRepresentation
bin111111111001111…
…0110110100110100
312112102212202002010
41333303312310310
513342420102330
6552435444220
7104065152330
oct17763666464
95472782063
102144300340
11a00446646
124ba156670
1328232bb90
14164adc7c0
15c83b83b0
hex7fcf6d34

2144300340 has 192 divisors, whose sum is σ = 7413202944. Its totient is φ = 450980352.

The previous prime is 2144300311. The next prime is 2144300357. The reversal of 2144300340 is 430034412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 3313897 + ... + 3314543.

It is an arithmetic number, because the mean of its divisors is an integer number (38610432).

Almost surely, 22144300340 is an apocalyptic number.

2144300340 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 2144300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706601472).

2144300340 is an abundant number, since it is smaller than the sum of its proper divisors (5268902604).

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

2144300340 is a wasteful number, since it uses less digits than its factorization.

2144300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2144300340 is about 46306.5906756263. The cubic root of 2144300340 is about 1289.5213535812.

Adding to 2144300340 its reverse (430034412), we get a palindrome (2574334752).

The spelling of 2144300340 in words is "two billion, one hundred forty-four million, three hundred thousand, three hundred forty".