Search a number
-
+
544400340 = 2235112335863
BaseRepresentation
bin100000011100101…
…110001111010100
31101221101101212120
4200130232033110
52103331302330
6130004215540
716330220001
oct4034561724
91357341776
10544400340
1125a333040
1213239a5b0
1388a2c7a3
14524328a8
1532bd8c10
hex2072e3d4

544400340 has 96 divisors (see below), whose sum is σ = 1735243776. Its totient is φ = 126234240.

The previous prime is 544400327. The next prime is 544400341. The reversal of 544400340 is 43004445.

It is a self number, because there is not a number n which added to its sum of digits gives 544400340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544400341) 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, 2752 + ... + 33111.

It is an arithmetic number, because the mean of its divisors is an integer number (18075456).

Almost surely, 2544400340 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 544400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867621888).

544400340 is an abundant number, since it is smaller than the sum of its proper divisors (1190843436).

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

544400340 is a wasteful number, since it uses less digits than its factorization.

544400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35909 (or 35907 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 544400340 is about 23332.3882189544. The cubic root of 544400340 is about 816.5312224821.

Adding to 544400340 its reverse (43004445), we get a palindrome (587404785).

The spelling of 544400340 in words is "five hundred forty-four million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 35863 71726 107589 143452 179315 215178 358630 394493 430356 537945 717260 788986 824849 1075890 1183479 1577972 1649698 1972465 2151780 2366958 2474547 3299396 3944930 4124245 4733916 4949094 5917395 7889860 8248490 9073339 9898188 11834790 12372735 16496980 18146678 23669580 24745470 27220017 36293356 45366695 49490940 54440034 90733390 108880068 136100085 181466780 272200170 544400340