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2444441340 = 22351131111909
BaseRepresentation
bin1001000110110011…
…0011011011111100
320022100122111010110
42101230303123330
520001234110330
61042320510020
7114401260065
oct22154633374
96270574113
102444441340
111044906a60
1258277b310
132cc578bc3
1419290b56c
15e4903db0
hex91b336fc

2444441340 has 96 divisors (see below), whose sum is σ = 7491294720. Its totient is φ = 590636800.

The previous prime is 2444441327. The next prime is 2444441369. The reversal of 2444441340 is 431444442.

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 = 2444441298 and 2444441307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199306 + ... + 211214.

It is an arithmetic number, because the mean of its divisors is an integer number (78034320).

Almost surely, 22444441340 is an apocalyptic number.

2444441340 is a gapful number since it is divisible by the number (20) 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 2444441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745647360).

2444441340 is an abundant number, since it is smaller than the sum of its proper divisors (5046853380).

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

2444441340 is a wasteful number, since it uses less digits than its factorization.

2444441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243 (or 12241 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 2444441340 is about 49441.2918520542. The cubic root of 2444441340 is about 1347.0794366100.

Adding to 2444441340 its reverse (431444442), we get a palindrome (2875885782).

The spelling of 2444441340 in words is "two billion, four hundred forty-four million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 311 330 622 660 933 1244 1555 1866 3110 3421 3732 4665 6220 6842 9330 10263 11909 13684 17105 18660 20526 23818 34210 35727 41052 47636 51315 59545 68420 71454 102630 119090 130999 142908 178635 205260 238180 261998 357270 392997 523996 654995 714540 785994 1309990 1571988 1964985 2619980 3703699 3929970 7407398 7859940 11111097 14814796 18518495 22222194 37036990 40740689 44444388 55555485 74073980 81481378 111110970 122222067 162962756 203703445 222221940 244444134 407406890 488888268 611110335 814813780 1222220670 2444441340