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668035368 = 23327111322331
BaseRepresentation
bin100111110100010…
…110100100101000
31201120000201020200
4213310112210220
52332004112433
6150142152200
722361130660
oct4764264450
91646021220
10668035368
113130a7950
12167882660
13a852a100
1464a171a0
153d9ab613
hex27d16928

668035368 has 576 divisors, whose sum is σ = 2630983680. Its totient is φ = 148262400.

The previous prime is 668035363. The next prime is 668035409. The reversal of 668035368 is 863530866.

It is not an unprimeable number, because it can be changed into a prime (668035363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21549513 + ... + 21549543.

It is an arithmetic number, because the mean of its divisors is an integer number (4567680).

Almost surely, 2668035368 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 668035368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315491840).

668035368 is an abundant number, since it is smaller than the sum of its proper divisors (1962948312).

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

668035368 is a wasteful number, since it uses less digits than its factorization.

668035368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 668035368 is about 25846.3801720860. The cubic root of 668035368 is about 874.1778914467.

The spelling of 668035368 in words is "six hundred sixty-eight million, thirty-five thousand, three hundred sixty-eight".