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6340245120 = 27325113827
BaseRepresentation
bin1011110011110100…
…00111011010000000
3121100212021211020100
411321322013122000
5100441100320440
62525045242400
7313055123436
oct57172073200
917325254210
106340245120
1127639a3000
12128b403400
137a0717b41
1444209ad56
15271946230
hex179e87680

6340245120 has 384 divisors, whose sum is σ = 24110498880. Its totient is φ = 1535170560.

The previous prime is 6340245077. The next prime is 6340245127. The reversal of 6340245120 is 215420436.

6340245120 is a `hidden beast` number, since 634 + 0 + 2 + 4 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6340245127) 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, 7666147 + ... + 7666973.

Almost surely, 26340245120 is an apocalyptic number.

6340245120 is a gapful number since it is divisible by the number (60) 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 6340245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055249440).

6340245120 is an abundant number, since it is smaller than the sum of its proper divisors (17770253760).

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

6340245120 is a wasteful number, since it uses less digits than its factorization.

6340245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6340245120 is about 79625.6561668411. The cubic root of 6340245120 is about 1850.8391732198.

Adding to 6340245120 its reverse (215420436), we get a palindrome (6555665556).

The spelling of 6340245120 in words is "six billion, three hundred forty million, two hundred forty-five thousand, one hundred twenty".