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420174368 = 2537354877
BaseRepresentation
bin11001000010110…
…101101000100000
31002021122001212122
4121002311220200
51330031034433
6105405443412
713261265105
oct3102655040
91067561778
10420174368
111a61a5249
12b8870568
13690861b3
143db36aac
1526d4b198
hex190b5a20

420174368 has 24 divisors (see below), whose sum is σ = 849577932. Its totient is φ = 204408576.

The previous prime is 420174367. The next prime is 420174383. The reversal of 420174368 is 863471024.

It can be written as a sum of positive squares in 2 ways, for example, as 395691664 + 24482704 = 19892^2 + 4948^2 .

It is not an unprimeable number, because it can be changed into a prime (420174361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176255 + ... + 178622.

Almost surely, 2420174368 is an apocalyptic number.

It is an amenable number.

420174368 is an abundant number, since it is smaller than the sum of its proper divisors (429403564).

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

420174368 is a wasteful number, since it uses less digits than its factorization.

420174368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354924 (or 354916 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 420174368 is about 20498.1552340692. The cubic root of 420174368 is about 748.9908608673.

The spelling of 420174368 in words is "four hundred twenty million, one hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 354877 709754 1419508 2839016 5678032 11356064 13130449 26260898 52521796 105043592 210087184 420174368