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57334305 = 3571929991
BaseRepresentation
bin1101101010110…
…1101000100001
310222212212212210
43122231220201
5104134144210
65404512333
71264222260
oct332555041
9128785783
1057334305
112a400126
121724b6a9
13bb55832
1478865d7
155077e20
hex36ada21

57334305 has 64 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 23950080.

The previous prime is 57334301. The next prime is 57334307. The reversal of 57334305 is 50343375.

57334305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57334305 - 22 = 57334301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57334301) 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 63 ways as a sum of consecutive naturals, for example, 57360 + ... + 58350.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 257334305 is an apocalyptic number.

It is an amenable number.

57334305 is a deficient number, since it is larger than the sum of its proper divisors (56944095).

57334305 is a wasteful number, since it uses less digits than its factorization.

57334305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 18900, while the sum is 30.

The square root of 57334305 is about 7571.9419569883. The cubic root of 57334305 is about 385.6010289661.

The spelling of 57334305 in words is "fifty-seven million, three hundred thirty-four thousand, three hundred five".

Divisors: 1 3 5 7 15 19 21 29 35 57 87 95 105 133 145 203 285 399 435 551 609 665 991 1015 1653 1995 2755 2973 3045 3857 4955 6937 8265 11571 14865 18829 19285 20811 28739 34685 56487 57855 86217 94145 104055 131803 143695 201173 282435 395409 431085 546041 603519 659015 1005865 1638123 1977045 2730205 3017595 3822287 8190615 11466861 19111435 57334305