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6704219340 = 2236571331163
BaseRepresentation
bin1100011111001101…
…00100010011001100
3122022020011122000000
412033212210103030
5102212240004330
63025130404300
7325064631660
oct61746442314
918266148000
106704219340
1129303a2245
121371290690
1382ac547c0
144785648a0
15293890560
hex18f9a44cc

6704219340 has 672 divisors, whose sum is σ = 26982445056. Its totient is φ = 1360488960.

The previous prime is 6704219321. The next prime is 6704219351. The reversal of 6704219340 is 439124076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6704219295 and 6704219304.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41130099 + ... + 41130261.

It is an arithmetic number, because the mean of its divisors is an integer number (40152448).

Almost surely, 26704219340 is an apocalyptic number.

6704219340 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 6704219340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491222528).

6704219340 is an abundant number, since it is smaller than the sum of its proper divisors (20278225716).

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

6704219340 is a wasteful number, since it uses less digits than its factorization.

6704219340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6704219340 is about 81879.2973834046. The cubic root of 6704219340 is about 1885.5992850470.

The spelling of 6704219340 in words is "six billion, seven hundred four million, two hundred nineteen thousand, three hundred forty".