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3444140340 = 22325295359211
BaseRepresentation
bin1100110101001001…
…0110100100110100
322220000202110100100
43031102112210310
524023144442330
61325431514100
7151230465324
oct31522264464
98800673310
103444140340
111508144683
12801528930
1342b70c084
142495bb284
15152576060
hexcd496934

3444140340 has 288 divisors, whose sum is σ = 11251094400. Its totient is φ = 851235840.

The previous prime is 3444140339. The next prime is 3444140351. The reversal of 3444140340 is 430414443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16322835 + ... + 16323045.

It is an arithmetic number, because the mean of its divisors is an integer number (39066300).

Almost surely, 23444140340 is an apocalyptic number.

3444140340 is a gapful number since it is divisible by the number (30) 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 3444140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625547200).

3444140340 is an abundant number, since it is smaller than the sum of its proper divisors (7806954060).

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

3444140340 is a wasteful number, since it uses less digits than its factorization.

3444140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3444140340 is about 58686.7986859055. The cubic root of 3444140340 is about 1510.1738524739.

Adding to 3444140340 its reverse (430414443), we get a palindrome (3874554783).

The spelling of 3444140340 in words is "three billion, four hundred forty-four million, one hundred forty thousand, three hundred forty".