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2330424 = 233310789
BaseRepresentation
bin1000111000111100111000
311101101202000
420320330320
51044033144
6121541000
725544145
oct10707470
94341660
102330424
111351978
12944760
13637965
144493cc
15310769
hex238f38

2330424 has 32 divisors (see below), whose sum is σ = 6474000. Its totient is φ = 776736.

The previous prime is 2330423. The next prime is 2330431. The reversal of 2330424 is 4240332.

2330424 = 1282 + 1292 + ... + 2082.

2330424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2330397 and 2330406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5179 + ... + 5610.

22330424 is an apocalyptic number.

2330424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2330424 is an abundant number, since it is smaller than the sum of its proper divisors (4143576).

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

2330424 is a wasteful number, since it uses less digits than its factorization.

2330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2330424 is about 1526.5726317473. The cubic root of 2330424 is about 132.5800916038.

Adding to 2330424 its reverse (4240332), we get a palindrome (6570756).

The spelling of 2330424 in words is "two million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10789 21578 32367 43156 64734 86312 97101 129468 194202 258936 291303 388404 582606 776808 1165212 2330424