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2014414340 = 225193521869
BaseRepresentation
bin111100000010001…
…1000011000000100
312012101110211222112
41320010120120010
513111142224330
6531515520152
7100630145051
oct17004303004
95171424875
102014414340
119440a2344
12482759058
13261453263
1415176c028
15bbcad795
hex78118604

2014414340 has 24 divisors (see below), whose sum is σ = 4252196760. Its totient is φ = 801589248.

The previous prime is 2014414321. The next prime is 2014414349. The reversal of 2014414340 is 434144102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 2014034884 = 616^2 + 44878^2 .

It is not an unprimeable number, because it can be changed into a prime (2014414349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257075 + ... + 264794.

It is an arithmetic number, because the mean of its divisors is an integer number (177174865).

Almost surely, 22014414340 is an apocalyptic number.

2014414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014414340 is an abundant number, since it is smaller than the sum of its proper divisors (2237782420).

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

2014414340 is a wasteful number, since it uses less digits than its factorization.

2014414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522071 (or 522069 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2014414340 is about 44882.2274402686. The cubic root of 2014414340 is about 1262.9406289959.

Adding to 2014414340 its reverse (434144102), we get a palindrome (2448558442).

The spelling of 2014414340 in words is "two billion, fourteen million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 521869 1043738 2087476 2609345 5218690 10437380 100720717 201441434 402882868 503603585 1007207170 2014414340