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2576340 = 2233513367
BaseRepresentation
bin1001110100111111010100
311211220002000
421310333110
51124420330
6131115300
730620124
oct11647724
94756060
102576340
1114aa708
12a42b30
136c2880
144b0c84
1535d560
hex274fd4

2576340 has 96 divisors (see below), whose sum is σ = 8655360. Its totient is φ = 632448.

The previous prime is 2576323. The next prime is 2576341. The reversal of 2576340 is 436752.

It is a happy number.

2576340 is a `hidden beast` number, since 25 + 7 + 634 + 0 = 666.

2576340 is digitally balanced in base 5, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576341) 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, 6837 + ... + 7203.

It is an arithmetic number, because the mean of its divisors is an integer number (90160).

22576340 is an apocalyptic number.

2576340 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 2576340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327680).

2576340 is an abundant number, since it is smaller than the sum of its proper divisors (6079020).

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

2576340 is a wasteful number, since it uses less digits than its factorization.

2576340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2576340 is about 1605.0981278414. The cubic root of 2576340 is about 137.0885108328.

It can be divided in two parts, 2576 and 340, that added together give a square (2916 = 542).

The spelling of 2576340 in words is "two million, five hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 367 390 468 540 585 702 734 780 1101 1170 1404 1468 1755 1835 2202 2340 3303 3510 3670 4404 4771 5505 6606 7020 7340 9542 9909 11010 13212 14313 16515 19084 19818 22020 23855 28626 33030 39636 42939 47710 49545 57252 66060 71565 85878 95420 99090 128817 143130 171756 198180 214695 257634 286260 429390 515268 644085 858780 1288170 2576340