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3744254304 = 2532719239409
BaseRepresentation
bin1101111100101100…
…1100100101100000
3100122221110211022100
43133023030211200
530132012114204
61415312210400
7161533431210
oct33713144540
910587424270
103744254304
11165159674a
12885b39a00
134789499bb
142773c0240
1516daa8a39
hexdf2cc960

3744254304 has 288 divisors, whose sum is σ = 12894336000. Its totient is φ = 1006774272.

The previous prime is 3744254303. The next prime is 3744254329. The reversal of 3744254304 is 4034524473.

3744254304 is a `hidden beast` number, since 3 + 74 + 42 + 543 + 0 + 4 = 666.

3744254304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744254303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9154452 + ... + 9154860.

It is an arithmetic number, because the mean of its divisors is an integer number (44772000).

Almost surely, 23744254304 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 3744254304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447168000).

3744254304 is an abundant number, since it is smaller than the sum of its proper divisors (9150081696).

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

3744254304 is a wasteful number, since it uses less digits than its factorization.

3744254304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 3744254304 is about 61190.3121743957. The cubic root of 3744254304 is about 1552.8223712305.

Adding to 3744254304 its reverse (4034524473), we get a palindrome (7778778777).

The spelling of 3744254304 in words is "three billion, seven hundred forty-four million, two hundred fifty-four thousand, three hundred four".