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54340320 = 2535113209
BaseRepresentation
bin1100111101001…
…0101011100000
310210020202220110
43033102223200
5102402342240
65220411320
71226612406
oct317225340
9123222813
1054340320
1128745761
1216246b40
13b347b48
147307476
154b85c80
hex33d2ae0

54340320 has 48 divisors (see below), whose sum is σ = 171173520. Its totient is φ = 14490624.

The previous prime is 54340301. The next prime is 54340327. The reversal of 54340320 is 2304345.

It is a happy number.

54340320 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54340327) 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 7 ways as a sum of consecutive naturals, for example, 56125 + ... + 57084.

It is an arithmetic number, because the mean of its divisors is an integer number (3566115).

Almost surely, 254340320 is an apocalyptic number.

It is an amenable number.

54340320 is an abundant number, since it is smaller than the sum of its proper divisors (116833200).

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

54340320 is a wasteful number, since it uses less digits than its factorization.

54340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113227 (or 113219 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 54340320 is about 7371.5887025797. The cubic root of 54340320 is about 378.7686829765.

Adding to 54340320 its reverse (2304345), we get a palindrome (56644665).

The spelling of 54340320 in words is "fifty-four million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 113209 226418 339627 452836 566045 679254 905672 1132090 1358508 1698135 1811344 2264180 2717016 3396270 3622688 4528360 5434032 6792540 9056720 10868064 13585080 18113440 27170160 54340320