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2144340 = 2233511192
BaseRepresentation
bin1000001011100001010100
311000221111000
420023201110
51022104330
6113543300
724140502
oct10134124
94027430
102144340
111235090
12874b30
135a1053
143db672
152c5560
hex20b854

2144340 has 144 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 492480.

The previous prime is 2144323. The next prime is 2144369. The reversal of 2144340 is 434412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112851 + ... + 112869.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

22144340 is an apocalyptic number.

2144340 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 2144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2144340 is an abundant number, since it is smaller than the sum of its proper divisors (5536620).

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

2144340 is a wasteful number, since it uses less digits than its factorization.

2144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2144340 is about 1464.3565139678. The cubic root of 2144340 is about 128.9529303665.

Adding to 2144340 its reverse (434412), we get a palindrome (2578752).

It can be divided in two parts, 214 and 4340, that added together give a palindrome (4554).

The spelling of 2144340 in words is "two million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 27 30 33 36 38 44 45 54 55 57 60 66 76 90 95 99 108 110 114 132 135 165 171 180 190 198 209 220 228 270 285 297 330 342 361 380 396 418 495 513 540 570 594 627 660 684 722 836 855 990 1026 1045 1083 1140 1188 1254 1444 1485 1710 1805 1881 1980 2052 2090 2166 2508 2565 2970 3135 3249 3420 3610 3762 3971 4180 4332 5130 5415 5643 5940 6270 6498 7220 7524 7942 9405 9747 10260 10830 11286 11913 12540 12996 15884 16245 18810 19494 19855 21660 22572 23826 28215 32490 35739 37620 38988 39710 47652 48735 56430 59565 64980 71478 79420 97470 107217 112860 119130 142956 178695 194940 214434 238260 357390 428868 536085 714780 1072170 2144340