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57343104 = 2732713547
BaseRepresentation
bin1101101010111…
…1110010000000
310222220022221200
43122233302000
5104134434404
65405021200
71264260030
oct332576200
9128808850
1057343104
112a4067a5
1217254800
13bb59840
1478898c0
15507a839
hex36afc80

57343104 has 192 divisors, whose sum is σ = 203461440. Its totient is φ = 15095808.

The previous prime is 57343073. The next prime is 57343109. The reversal of 57343104 is 40134375.

57343104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (57343109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104559 + ... + 105105.

It is an arithmetic number, because the mean of its divisors is an integer number (1059695).

Almost surely, 257343104 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 57343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101730720).

57343104 is an abundant number, since it is smaller than the sum of its proper divisors (146118336).

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

57343104 is a wasteful number, since it uses less digits than its factorization.

57343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57343104 is about 7572.5229613386. The cubic root of 57343104 is about 385.6207538057.

Adding to 57343104 its reverse (40134375), we get a palindrome (97477479).

The spelling of 57343104 in words is "fifty-seven million, three hundred forty-three thousand, one hundred four".