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2543340 = 2235192397
BaseRepresentation
bin1001101100111011101100
311210012210210
421230323230
51122341330
6130302420
730421662
oct11547354
94705723
102543340
111487938
12a27a10
136b0847
144a2c32
153538b0
hex26ceec

2543340 has 96 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 608256.

The previous prime is 2543327. The next prime is 2543341. The reversal of 2543340 is 433452.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543341) 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 31 ways as a sum of consecutive naturals, for example, 26172 + ... + 26268.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

22543340 is an apocalyptic number.

2543340 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 2543340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360).

2543340 is an abundant number, since it is smaller than the sum of its proper divisors (5359380).

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

2543340 is a wasteful number, since it uses less digits than its factorization.

2543340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2543340 is about 1594.7852520010. The cubic root of 2543340 is about 136.5006775852.

Adding to 2543340 its reverse (433452), we get a palindrome (2976792).

It can be divided in two parts, 25 and 43340, that added together give a triangular number (43365 = T294).

The spelling of 2543340 in words is "two million, five hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 97 114 115 138 190 194 228 230 276 285 291 345 380 388 437 460 485 570 582 690 874 970 1140 1164 1311 1380 1455 1748 1843 1940 2185 2231 2622 2910 3686 4370 4462 5244 5529 5820 6555 6693 7372 8740 8924 9215 11058 11155 13110 13386 18430 22116 22310 26220 26772 27645 33465 36860 42389 44620 55290 66930 84778 110580 127167 133860 169556 211945 254334 423890 508668 635835 847780 1271670 2543340