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2440284 = 22371119139
BaseRepresentation
bin1001010011110001011100
311120222102220
421103301130
51111042114
6124145340
726512350
oct11236134
94528386
102440284
111417470
12998250
13675972
14477460
153330a9
hex253c5c

2440284 has 96 divisors (see below), whose sum is σ = 7526400. Its totient is φ = 596160.

The previous prime is 2440271. The next prime is 2440297. The reversal of 2440284 is 4820442.

2440284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2440271) and next prime (2440297).

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, 17487 + ... + 17625.

It is an arithmetic number, because the mean of its divisors is an integer number (78400).

22440284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763200).

2440284 is an abundant number, since it is smaller than the sum of its proper divisors (5086116).

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

2440284 is a wasteful number, since it uses less digits than its factorization.

2440284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2440284 is about 1562.1408387210. The cubic root of 2440284 is about 134.6315329492.

The spelling of 2440284 in words is "two million, four hundred forty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 139 154 209 228 231 266 278 308 399 417 418 462 532 556 627 798 834 836 924 973 1254 1463 1529 1596 1668 1946 2508 2641 2919 2926 3058 3892 4389 4587 5282 5838 5852 6116 7923 8778 9174 10564 10703 11676 15846 17556 18348 18487 21406 29051 31692 32109 36974 42812 55461 58102 64218 73948 87153 110922 116204 128436 174306 203357 221844 348612 406714 610071 813428 1220142 2440284