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2784340 = 2251310709
BaseRepresentation
bin1010100111110001010100
312020110101201
422213301110
51203044330
6135402244
732444416
oct12476124
95213351
102784340
111631a09
12b23384
13766450
145269b6
1539eeca
hex2a7c54

2784340 has 24 divisors (see below), whose sum is σ = 6297480. Its totient is φ = 1027968.

The previous prime is 2784337. The next prime is 2784347. The reversal of 2784340 is 434872.

2784340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 2316484 = 684^2 + 1522^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2784299 and 2784308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2784347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5095 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (262395).

22784340 is an apocalyptic number.

2784340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2784340 is an abundant number, since it is smaller than the sum of its proper divisors (3513140).

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

2784340 is a wasteful number, since it uses less digits than its factorization.

2784340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10731 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2784340 is about 1668.6341720102. The cubic root of 2784340 is about 140.6827196801.

The spelling of 2784340 in words is "two million, seven hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 10709 21418 42836 53545 107090 139217 214180 278434 556868 696085 1392170 2784340