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2430024 = 23319732
BaseRepresentation
bin1001010001010001001000
311120110100220
421101101020
51110230044
6124030040
726440422
oct11212110
94513326
102430024
11140a793
12992320
136710ac
14473812
15330019
hex251448

2430024 has 48 divisors (see below), whose sum is σ = 6483600. Its totient is φ = 756864.

The previous prime is 2430013. The next prime is 2430047. The reversal of 2430024 is 4200342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2429985 and 2430012.

It is an unprimeable number.

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, 33252 + ... + 33324.

It is an arithmetic number, because the mean of its divisors is an integer number (135075).

22430024 is an apocalyptic number.

2430024 is a gapful number since it is divisible by the number (24) 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 2430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241800).

2430024 is an abundant number, since it is smaller than the sum of its proper divisors (4053576).

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

2430024 is a wasteful number, since it uses less digits than its factorization.

2430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2430024 is about 1558.8534247966. The cubic root of 2430024 is about 134.4425850031.

Adding to 2430024 its reverse (4200342), we get a palindrome (6630366).

The spelling of 2430024 in words is "two million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1387 1752 2774 4161 5329 5548 8322 10658 11096 15987 16644 21316 31974 33288 42632 63948 101251 127896 202502 303753 405004 607506 810008 1215012 2430024