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3024001344 = 2637131710181
BaseRepresentation
bin1011010000111110…
…1001100101000000
321210202012011222210
42310033221211000
522143121020334
61220022502120
7134636405310
oct26417514500
97722164883
103024001344
111311a73a71
12704894940
13392669010
14209893440
1512a7355e9
hexb43e9940

3024001344 has 224 divisors, whose sum is σ = 10427671296. Its totient is φ = 750551040.

The previous prime is 3024001313. The next prime is 3024001363. The reversal of 3024001344 is 4431004203.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3024001344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291934 + ... + 302114.

It is an arithmetic number, because the mean of its divisors is an integer number (46552104).

Almost surely, 23024001344 is an apocalyptic number.

3024001344 is a gapful number since it is divisible by the number (34) 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 3024001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213835648).

3024001344 is an abundant number, since it is smaller than the sum of its proper divisors (7403669952).

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

3024001344 is a wasteful number, since it uses less digits than its factorization.

3024001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3024001344 is about 54990.9205596706. The cubic root of 3024001344 is about 1446.0855727400.

Adding to 3024001344 its reverse (4431004203), we get a palindrome (7455005547).

It can be divided in two parts, 302400 and 1344, that multiplied together give a square (406425600 = 201602).

The spelling of 3024001344 in words is "three billion, twenty-four million, one thousand, three hundred forty-four".