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4234384 = 247211491
BaseRepresentation
bin10000001001110010010000
321222010111001
4100021302100
52041000014
6230431344
750664100
oct20116220
97863431
104234384
1124323a0
121502554
13b5346b
147c3200
15589974
hex409c90

4234384 has 60 divisors (see below), whose sum is σ = 10432368. Its totient is φ = 1646400.

The previous prime is 4234381. The next prime is 4234387. The reversal of 4234384 is 4834324.

It is an interprime number because it is at equal distance from previous prime (4234381) and next prime (4234387).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 4 + 2 + 36 + 42 + 38 + 85 + 411 .

It is not an unprimeable number, because it can be changed into a prime (4234381) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8379 + ... + 8869.

Almost surely, 24234384 is an apocalyptic number.

4234384 is a gapful number since it is divisible by the number (44) 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 4234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216184).

4234384 is an abundant number, since it is smaller than the sum of its proper divisors (6197984).

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

4234384 is a wasteful number, since it uses less digits than its factorization.

4234384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4234384 is about 2057.7618909874. The cubic root of 4234384 is about 161.7819552943.

Adding to 4234384 its product of digits (9216), we get a square (4243600 = 20602).

The spelling of 4234384 in words is "four million, two hundred thirty-four thousand, three hundred eighty-four".