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54344240 = 24517311289
BaseRepresentation
bin1100111101001…
…1101000110000
310210020222021122
43033103220300
5102403003430
65220441412
71226630006
oct317235060
9123228248
1054344240
11287486a5
1216249268
13b349872
147308a76
154b86ee5
hex33d3a30

54344240 has 80 divisors (see below), whose sum is σ = 138205440. Its totient is φ = 19783680.

The previous prime is 54344233. The next prime is 54344243. The reversal of 54344240 is 4244345.

54344240 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 (80).

It is not an unprimeable number, because it can be changed into a prime (54344243) 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 15 ways as a sum of consecutive naturals, for example, 41516 + ... + 42804.

It is an arithmetic number, because the mean of its divisors is an integer number (1727568).

Almost surely, 254344240 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 54344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102720).

54344240 is an abundant number, since it is smaller than the sum of its proper divisors (83861200).

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

54344240 is a wasteful number, since it uses less digits than its factorization.

54344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 54344240 is about 7371.8545834817. The cubic root of 54344240 is about 378.7777906246. Note that the first 4 decimals are identical.

Adding to 54344240 its reverse (4244345), we get a palindrome (58588585).

The spelling of 54344240 in words is "fifty-four million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1289 1360 2108 2480 2578 2635 4216 5156 5270 6445 8432 10312 10540 12890 20624 21080 21913 25780 39959 42160 43826 51560 79918 87652 103120 109565 159836 175304 199795 219130 319672 350608 399590 438260 639344 679303 799180 876520 1358606 1598360 1753040 2717212 3196720 3396515 5434424 6793030 10868848 13586060 27172120 54344240