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2676384 = 25329293
BaseRepresentation
bin1010001101011010100000
312000222022100
422031122200
51141121014
6133210400
731514604
oct12153240
95028270
102676384
111568897
12a90a00
13729279
144d9504
1537d009
hex28d6a0

2676384 has 36 divisors (see below), whose sum is σ = 7611786. Its totient is φ = 892032.

The previous prime is 2676383. The next prime is 2676403. The reversal of 2676384 is 4836762.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 51984 = 1620^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 219 + 6 + 77 + 67 + 33 + 8 + 410 .

It is not an unprimeable number, because it can be changed into a prime (2676383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4359 + ... + 4934.

22676384 is an apocalyptic number.

2676384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2676384 is an abundant number, since it is smaller than the sum of its proper divisors (4935402).

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

2676384 is a wasteful number, since it uses less digits than its factorization.

2676384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9298 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2676384 is about 1635.9657698130. The cubic root of 2676384 is about 138.8404912498.

The spelling of 2676384 in words is "two million, six hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9293 18586 27879 37172 55758 74344 83637 111516 148688 167274 223032 297376 334548 446064 669096 892128 1338192 2676384