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4029344 = 251111447
BaseRepresentation
bin1111010111101110100000
321120201012222
433113232200
52012414334
6222210212
746151234
oct17275640
97521188
104029344
112302340
121423968
13ab1037
1476c5c4
15548d2e
hex3d7ba0

4029344 has 24 divisors (see below), whose sum is σ = 8654688. Its totient is φ = 1831360.

The previous prime is 4029341. The next prime is 4029359. The reversal of 4029344 is 4439204.

It is a super-3 number, since 3×40293443 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4029341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5372 + ... + 6075.

It is an arithmetic number, because the mean of its divisors is an integer number (360612).

Almost surely, 24029344 is an apocalyptic number.

4029344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4029344 is an abundant number, since it is smaller than the sum of its proper divisors (4625344).

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

4029344 is a wasteful number, since it uses less digits than its factorization.

4029344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11468 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4029344 is about 2007.3225949010. The cubic root of 4029344 is about 159.1273323061.

The spelling of 4029344 in words is "four million, twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 11447 22894 45788 91576 125917 183152 251834 366304 503668 1007336 2014672 4029344