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57334000 = 2453109263
BaseRepresentation
bin1101101010110…
…1100011110000
310222212212110111
43122231203300
5104134142000
65404511104
71264221343
oct332554360
9128785414
1057334000
112a3aa979
121724b494
13bb55659
14788645a
155077cba
hex36ad8f0

57334000 has 80 divisors (see below), whose sum is σ = 140437440. Its totient is φ = 22636800.

The previous prime is 57333989. The next prime is 57334003. The reversal of 57334000 is 43375.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57334003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217869 + ... + 218131.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 257334000 is an apocalyptic number.

57334000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

57334000 is an abundant number, since it is smaller than the sum of its proper divisors (83103440).

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

57334000 is a wasteful number, since it uses less digits than its factorization.

57334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 57334000 is about 7571.9218168177. The cubic root of 57334000 is about 385.6003452072.

Adding to 57334000 its reverse (43375), we get a palindrome (57377375).

The spelling of 57334000 in words is "fifty-seven million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 263 400 436 500 526 545 872 1000 1052 1090 1315 1744 2000 2104 2180 2630 2725 4208 4360 5260 5450 6575 8720 10520 10900 13150 13625 21040 21800 26300 27250 28667 32875 43600 52600 54500 57334 65750 105200 109000 114668 131500 143335 218000 229336 263000 286670 458672 526000 573340 716675 1146680 1433350 2293360 2866700 3583375 5733400 7166750 11466800 14333500 28667000 57334000