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2428384 = 25737293
BaseRepresentation
bin1001010000110111100000
311120101010011
421100313200
51110202014
6124014304
726432560
oct11206740
94511104
102428384
111409532
12991394
1367041a
14472da0
1532e7c4
hex250de0

2428384 has 48 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 1009152.

The previous prime is 2428379. The next prime is 2428403. The reversal of 2428384 is 4838242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8142 + ... + 8434.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

22428384 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 2428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2428384 is an abundant number, since it is smaller than the sum of its proper divisors (3202304).

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

2428384 is a wasteful number, since it uses less digits than its factorization.

2428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 2428384 is about 1558.3273083662. The cubic root of 2428384 is about 134.4123335242.

The spelling of 2428384 in words is "two million, four hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 293 296 518 586 592 1036 1172 1184 2051 2072 2344 4102 4144 4688 8204 8288 9376 10841 16408 21682 32816 43364 65632 75887 86728 151774 173456 303548 346912 607096 1214192 2428384