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2741340 = 2235761107
BaseRepresentation
bin1010011101010001011100
312011021102010
422131101130
51200210330
6134431220
732205150
oct12352134
95137363
102741340
111602678
12b02510
1374c9c4
14515060
153923b0
hex29d45c

2741340 has 96 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 610560.

The previous prime is 2741309. The next prime is 2741351. The reversal of 2741340 is 431472.

2741340 = T776 + T777 + ... + T784.

2741340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25567 + ... + 25673.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22741340 is an apocalyptic number.

2741340 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 2741340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2741340 is an abundant number, since it is smaller than the sum of its proper divisors (6258084).

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

2741340 is a wasteful number, since it uses less digits than its factorization.

2741340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2741340 is about 1655.6992480520. The cubic root of 2741340 is about 139.9547472791.

It can be divided in two parts, 2741 and 340, that added together give a triangular number (3081 = T78).

The spelling of 2741340 in words is "two million, seven hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 107 122 140 183 210 214 244 305 321 366 420 427 428 535 610 642 732 749 854 915 1070 1220 1281 1284 1498 1605 1708 1830 2135 2140 2247 2562 2996 3210 3660 3745 4270 4494 5124 6405 6420 6527 7490 8540 8988 11235 12810 13054 14980 19581 22470 25620 26108 32635 39162 44940 45689 65270 78324 91378 97905 130540 137067 182756 195810 228445 274134 391620 456890 548268 685335 913780 1370670 2741340