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2424330 = 23454173
BaseRepresentation
bin1001001111111000001010
311120011120000
421033320022
51110034310
6123543430
726415006
oct11177012
94504500
102424330
111406487
1298ab76
1366b61c
14471706
1532d4c0
hex24fe0a

2424330 has 80 divisors (see below), whose sum is σ = 6769224. Its totient is φ = 622080.

The previous prime is 2424329. The next prime is 2424341. The reversal of 2424330 is 334242.

2424330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1390041 + 1034289 = 1179^2 + 1017^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 33174 + ... + 33246.

22424330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384612).

2424330 is an abundant number, since it is smaller than the sum of its proper divisors (4344894).

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

2424330 is a wasteful number, since it uses less digits than its factorization.

2424330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

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

The square root of 2424330 is about 1557.0260113434. The cubic root of 2424330 is about 134.3374948512.

Adding to 2424330 its reverse (334242), we get a palindrome (2758572).

The spelling of 2424330 in words is "two million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 73 81 82 90 123 135 146 162 205 219 246 270 365 369 405 410 438 615 657 730 738 810 1095 1107 1230 1314 1845 1971 2190 2214 2993 3285 3321 3690 3942 5535 5913 5986 6570 6642 8979 9855 11070 11826 14965 16605 17958 19710 26937 29565 29930 33210 44895 53874 59130 80811 89790 134685 161622 242433 269370 404055 484866 808110 1212165 2424330