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2384928 = 253272132
BaseRepresentation
bin1001000110010000100000
311111011111200
421012100200
51102304203
6123041200
726162100
oct11062040
94434450
102384928
111389917
12970200
13656700
14461200
153219a3
hex246420

2384928 has 162 divisors, whose sum is σ = 8542989. Its totient is φ = 628992.

The previous prime is 2384911. The next prime is 2384951. The reversal of 2384928 is 8294832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 345744 = 1428^2 + 588^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1092.

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

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

It is a d-powerful number, because it can be written as 218 + 313 + 82 + 4 + 9 + 219 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 2384892 and 2384901.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183450 + ... + 183462.

22384928 is an apocalyptic number.

2384928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2384928

2384928 is an abundant number, since it is smaller than the sum of its proper divisors (6158061).

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

2384928 is a wasteful number, since it uses less digits than its factorization.

2384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2384928 is about 1544.3212101114. The cubic root of 2384928 is about 133.6057320021.

The spelling of 2384928 in words is "two million, three hundred eighty-four thousand, nine hundred twenty-eight".