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668334464 = 2771722989
BaseRepresentation
bin100111110101011…
…111100110000000
31201120120220112022
4213311133212000
52332043200324
6150152421012
722363514660
oct4765374600
91646526468
10668334464
11313291636
121679a7768
13a86032a5
1464a941a0
153da1a05e
hex27d5f980

668334464 has 192 divisors, whose sum is σ = 1690956000. Its totient is φ = 257359872.

The previous prime is 668334463. The next prime is 668334467. The reversal of 668334464 is 464433866.

Its product of digits (995328) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668334461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7509332 + ... + 7509420.

Almost surely, 2668334464 is an apocalyptic number.

668334464 is a gapful number since it is divisible by the number (64) 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 668334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845478000).

668334464 is an abundant number, since it is smaller than the sum of its proper divisors (1022621536).

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

668334464 is a wasteful number, since it uses less digits than its factorization.

668334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its digits is 995328, while the sum is 44.

The square root of 668334464 is about 25852.1655572604. The cubic root of 668334464 is about 874.3083356875.

The spelling of 668334464 in words is "six hundred sixty-eight million, three hundred thirty-four thousand, four hundred sixty-four".