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2142384 = 24344633
BaseRepresentation
bin1000001011000010110000
311000211210120
420023002300
51022024014
6113530240
724132006
oct10130260
94024716
102142384
111233672
12873980
135a01aa
143daa76
152c4ba9
hex20b0b0

2142384 has 20 divisors (see below), whose sum is σ = 5534616. Its totient is φ = 714112.

The previous prime is 2142377. The next prime is 2142397. The reversal of 2142384 is 4832412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22269 + ... + 22364.

22142384 is an apocalyptic number.

2142384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142384 is an abundant number, since it is smaller than the sum of its proper divisors (3392232).

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

2142384 is a wasteful number, since it uses less digits than its factorization.

2142384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44644 (or 44638 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2142384 is about 1463.6884914489. The cubic root of 2142384 is about 128.9137094930.

Adding to 2142384 its reverse (4832412), we get a palindrome (6974796).

The spelling of 2142384 in words is "two million, one hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 44633 89266 133899 178532 267798 357064 535596 714128 1071192 2142384