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903427668 = 22341113173137
BaseRepresentation
bin110101110110010…
…011011001010100
32022221221212210000
4311312103121110
53322234141133
6225351331300
731250002623
oct6566233124
92287855700
10903427668
11423a63640
12212680b30
131152268b0
1487dad6ba
15544a7413
hex35d93654

903427668 has 480 divisors, whose sum is σ = 3114574848. Its totient is φ = 223948800.

The previous prime is 903427667. The next prime is 903427669. The reversal of 903427668 is 866724309.

It is an interprime number because it is at equal distance from previous prime (903427667) and next prime (903427669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903427667) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24416946 + ... + 24416982.

Almost surely, 2903427668 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 903427668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557287424).

903427668 is an abundant number, since it is smaller than the sum of its proper divisors (2211147180).

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

903427668 is a wasteful number, since it uses less digits than its factorization.

903427668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 903427668 is about 30057.0735102405. The cubic root of 903427668 is about 966.7135270717.

The spelling of 903427668 in words is "nine hundred three million, four hundred twenty-seven thousand, six hundred sixty-eight".