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2434144 = 25294361
BaseRepresentation
bin1001010010010001100000
311120200000111
421102101200
51110343034
6124101104
726455426
oct11222140
94520014
102434144
111412899
12994794
13672c2b
14475116
15331364
hex252460

2434144 has 48 divisors (see below), whose sum is σ = 5155920. Its totient is φ = 1128960.

The previous prime is 2434139. The next prime is 2434153. The reversal of 2434144 is 4414342.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39874 + ... + 39934.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

22434144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577960).

2434144 is an abundant number, since it is smaller than the sum of its proper divisors (2721776).

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

2434144 is a wasteful number, since it uses less digits than its factorization.

2434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 2434144 is about 1560.1743492315. The cubic root of 2434144 is about 134.5185226214.

Adding to 2434144 its reverse (4414342), we get a palindrome (6848486).

The spelling of 2434144 in words is "two million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 43 58 61 86 116 122 172 232 244 344 464 488 688 928 976 1247 1376 1769 1952 2494 2623 3538 4988 5246 7076 9976 10492 14152 19952 20984 28304 39904 41968 56608 76067 83936 152134 304268 608536 1217072 2434144