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3405999744 = 273271373083
BaseRepresentation
bin1100101100000011…
…0110111010000000
322210100222201021200
43023000312322000
523433413442434
61321550221200
7150255343260
oct31300667200
98710881250
103405999744
111498664024
127b07b4800
13423846984
142444cd7a0
1514e040199
hexcb036e80

3405999744 has 192 divisors, whose sum is σ = 11286699840. Its totient is φ = 965726208.

The previous prime is 3405999719. The next prime is 3405999749. The reversal of 3405999744 is 4479995043.

3405999744 is a `hidden beast` number, since 3 + 4 + 0 + 599 + 9 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×34059997442 = 23201668512256131072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3405999749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103227 + ... + 1106309.

It is an arithmetic number, because the mean of its divisors is an integer number (58784895).

Almost surely, 23405999744 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 3405999744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643349920).

3405999744 is an abundant number, since it is smaller than the sum of its proper divisors (7880700096).

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

3405999744 is a wasteful number, since it uses less digits than its factorization.

3405999744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3405999744 is about 58360.9436524119. The cubic root of 3405999744 is about 1504.5785649425.

The spelling of 3405999744 in words is "three billion, four hundred five million, nine hundred ninety-nine thousand, seven hundred forty-four".