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2984384 = 261317211
BaseRepresentation
bin1011011000100111000000
312121121210202
423120213000
51231000014
6143544332
734236554
oct13304700
95547722
102984384
111759237
12bbb0a8
13806510
14579864
153de3de
hex2d89c0

2984384 has 56 divisors (see below), whose sum is σ = 6784848. Its totient is φ = 1290240.

The previous prime is 2984363. The next prime is 2984389. The reversal of 2984384 is 4834892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984389) 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, 14039 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (121158).

22984384 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 2984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392424).

2984384 is an abundant number, since it is smaller than the sum of its proper divisors (3800464).

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

2984384 is a wasteful number, since it uses less digits than its factorization.

2984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 2984384 is about 1727.5369750023. The cubic root of 2984384 is about 143.9742752401.

The spelling of 2984384 in words is "two million, nine hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 211 221 272 416 422 442 544 832 844 884 1088 1688 1768 2743 3376 3536 3587 5486 6752 7072 7174 10972 13504 14144 14348 21944 28696 43888 46631 57392 87776 93262 114784 175552 186524 229568 373048 746096 1492192 2984384