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344131003404 = 223223334097383
BaseRepresentation
bin1010000000111111100…
…11100110010000001100
31012220021002012021120200
411000133303212100030
521114240014102104
6422031441413500
733601613160006
oct5003763462014
91186232167520
10344131003404
11122a43a86341
125684093a290
13265b39acc86
1412928205376
158e41b96b39
hex501fce640c

344131003404 has 36 divisors (see below), whose sum is σ = 870259777296. Its totient is φ = 114661137888.

The previous prime is 344131003393. The next prime is 344131003423. The reversal of 344131003404 is 404300131443.

344131003404 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 310 + 0 + 340 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3441310034042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1964704 + ... + 2132679.

Almost surely, 2344131003404 is an apocalyptic number.

It is an amenable number.

344131003404 is an abundant number, since it is smaller than the sum of its proper divisors (526128773892).

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

344131003404 is a wasteful number, since it uses less digits than its factorization.

344131003404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099726 (or 4099721 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 344131003404 its reverse (404300131443), we get a palindrome (748431134847).

The spelling of 344131003404 in words is "three hundred forty-four billion, one hundred thirty-one million, three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 2333 4666 6999 9332 13998 20997 27996 41994 83988 4097383 8194766 12292149 16389532 24584298 36876447 49168596 73752894 147505788 9559194539 19118389078 28677583617 38236778156 57355167234 86032750851 114710334468 172065501702 344131003404