Search a number
-
+
544324440 = 2335112317929
BaseRepresentation
bin100000011100011…
…011101101011000
31101221020112202110
4200130123231120
52103321340230
6130002432320
716326452502
oct4034335530
91357215673
10544324440
1125a291010
121323626a0
1388a0408a
1452412d72
1532bc14b0
hex2071bb58

544324440 has 128 divisors (see below), whose sum is σ = 1858982400. Its totient is φ = 126213120.

The previous prime is 544324439. The next prime is 544324447. The reversal of 544324440 is 44423445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 544324398 and 544324407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544324447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21396 + ... + 39324.

It is an arithmetic number, because the mean of its divisors is an integer number (14523300).

Almost surely, 2544324440 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 544324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929491200).

544324440 is an abundant number, since it is smaller than the sum of its proper divisors (1314657960).

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

544324440 is a wasteful number, since it uses less digits than its factorization.

544324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17977 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 544324440 is about 23330.7616678067. The cubic root of 544324440 is about 816.4932739384.

Adding to 544324440 its reverse (44423445), we get a palindrome (588747885).

The spelling of 544324440 in words is "five hundred forty-four million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 17929 30360 35858 53787 71716 89645 107574 143432 179290 197219 215148 268935 358580 394438 412367 430296 537870 591657 717160 788876 824734 986095 1075740 1183314 1237101 1577752 1649468 1972190 2061835 2151480 2366628 2474202 2958285 3298936 3944380 4123670 4536037 4733256 4948404 5916570 6185505 7888760 8247340 9072074 9896808 11833140 12371010 13608111 16494680 18144148 22680185 23666280 24742020 27216222 36288296 45360370 49484040 54432444 68040555 90720740 108864888 136081110 181441480 272162220 544324440