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2884240 = 245311163
BaseRepresentation
bin1011000000001010010000
312102112102201
423000022100
51214243430
6141452544
733341602
oct13001220
95375381
102884240
11169aa77
12b71154
1379ca68
14551172
153be8ca
hex2c0290

2884240 has 40 divisors (see below), whose sum is σ = 6928128. Its totient is φ = 1115520.

The previous prime is 2884229. The next prime is 2884243. The reversal of 2884240 is 424882.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a d-powerful number, because it can be written as 27 + 83 + 87 + 42 + 219 + 49 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2884199 and 2884208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 3061.

22884240 is an apocalyptic number.

2884240 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 2884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464064).

2884240 is an abundant number, since it is smaller than the sum of its proper divisors (4043888).

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

2884240 is a wasteful number, since it uses less digits than its factorization.

2884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2884240 is about 1698.3050373829. The cubic root of 2884240 is about 142.3455184420.

It can be divided in two parts, 28842 and 40, that added together give a palindrome (28882).

The spelling of 2884240 in words is "two million, eight hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1163 1240 2326 2480 4652 5815 9304 11630 18608 23260 36053 46520 72106 93040 144212 180265 288424 360530 576848 721060 1442120 2884240