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420331232 = 25311812341
BaseRepresentation
bin11001000011011…
…011111011100000
31002021221001001102
4121003123323200
51330101044412
6105413053532
713262520326
oct3103337340
91067831042
10420331232
111a62a2092
12b89272a8
136910c709
143db77d16
1526d7c8c2
hex190dbee0

420331232 has 48 divisors (see below), whose sum is σ = 859307904. Its totient is φ = 202176000.

The previous prime is 420331213. The next prime is 420331237. The reversal of 420331232 is 232133024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420331237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178382 + ... + 180722.

It is an arithmetic number, because the mean of its divisors is an integer number (17902248).

Almost surely, 2420331232 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 420331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429653952).

420331232 is an abundant number, since it is smaller than the sum of its proper divisors (438976672).

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

420331232 is a wasteful number, since it uses less digits than its factorization.

420331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 420331232 is about 20501.9811725599. The cubic root of 420331232 is about 749.0840563702.

Adding to 420331232 its reverse (232133024), we get a palindrome (652464256).

The spelling of 420331232 in words is "four hundred twenty million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 181 248 362 496 724 992 1448 2341 2896 4682 5611 5792 9364 11222 18728 22444 37456 44888 72571 74912 89776 145142 179552 290284 423721 580568 847442 1161136 1694884 2322272 3389768 6779536 13135351 13559072 26270702 52541404 105082808 210165616 420331232