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3002003424 = 253372233083
BaseRepresentation
bin1011001011101110…
…1110111111100000
321202012210120112000
42302323232333200
522122003102144
61213515204000
7134251415400
oct26273567740
97665716460
103002003424
111300609672
126b9446600
1338ac363b4
142069a8800
1512883c769
hexb2eeefe0

3002003424 has 288 divisors, whose sum is σ = 10631658240. Its totient is φ = 820157184.

The previous prime is 3002003393. The next prime is 3002003453. The reversal of 3002003424 is 4243002003.

3002003424 is a `hidden beast` number, since 300 + 20 + 0 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3002003397 and 3002003406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972187 + ... + 975269.

It is an arithmetic number, because the mean of its divisors is an integer number (36915480).

Almost surely, 23002003424 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 3002003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315829120).

3002003424 is an abundant number, since it is smaller than the sum of its proper divisors (7629654816).

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

3002003424 is a wasteful number, since it uses less digits than its factorization.

3002003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3118 counting only the distinct ones).

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

The square root of 3002003424 is about 54790.5413734889. The cubic root of 3002003424 is about 1442.5705474680.

Adding to 3002003424 its reverse (4243002003), we get a palindrome (7245005427).

The spelling of 3002003424 in words is "three billion, two million, three thousand, four hundred twenty-four".