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1344743424 = 2113383293
BaseRepresentation
bin101000000100111…
…0010100000000000
310110201101001012000
41100021302200000
510223223242144
6341234304000
745216062523
oct12011624000
93421331160
101344743424
11630088702
12316428000
131857a288b
14ca84abba
157d0cc769
hex50272800

1344743424 has 192 divisors, whose sum is σ = 4045204800. Its totient is φ = 441335808.

The previous prime is 1344743339. The next prime is 1344743441. The reversal of 1344743424 is 4243474431.

1344743424 is a `hidden beast` number, since 134 + 474 + 34 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589422 + ... + 4589714.

It is an arithmetic number, because the mean of its divisors is an integer number (21068775).

Almost surely, 21344743424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022602400).

1344743424 is an abundant number, since it is smaller than the sum of its proper divisors (2700461376).

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

1344743424 is an equidigital number, since it uses as much as digits as its factorization.

1344743424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 381 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 1344743424 is about 36670.7434339693. The cubic root of 1344743424 is about 1103.7731102735.

The spelling of 1344743424 in words is "one billion, three hundred forty-four million, seven hundred forty-three thousand, four hundred twenty-four".