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BaseRepresentation
bin1110000000000000
32220122212
432000000
53313334
61121252
7326120
oct160000
986585
1057344
113a0a1
1229228
1320141
1416c80
1511ece
hexe000

57344 has 28 divisors (see below), whose sum is σ = 131064. Its totient is φ = 24576.

The previous prime is 57331. The next prime is 57347. The reversal of 57344 is 44375.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8189 + ... + 8195.

257344 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 57344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65532).

57344 is an abundant number, since it is smaller than the sum of its proper divisors (73720).

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

57344 is an frugal number, since it uses more digits than its factorization.

57344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 9 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 57344 is about 239.4660727535. The cubic root of 57344 is about 38.5622762268.

The spelling of 57344 in words is "fifty-seven thousand, three hundred forty-four".