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420346256 = 24112217121
BaseRepresentation
bin11001000011011…
…111100110010000
31002021221210122212
4121003133212100
51330102040011
6105413251252
713262612201
oct3103374620
91067853585
10420346256
111a6302400
12b8933b28
13691164c5
143db7d5a8
1526d8208b
hex190df990

420346256 has 30 divisors (see below), whose sum is σ = 895194006. Its totient is φ = 191065600.

The previous prime is 420346249. The next prime is 420346273. The reversal of 420346256 is 652643024.

It can be written as a sum of positive squares in only one way, i.e., 309760000 + 110586256 = 17600^2 + 10516^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106625 + ... + 110496.

Almost surely, 2420346256 is an apocalyptic number.

It is an amenable number.

420346256 is an abundant number, since it is smaller than the sum of its proper divisors (474847750).

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

420346256 is a wasteful number, since it uses less digits than its factorization.

420346256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217151 (or 217134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 420346256 is about 20502.3475729000. The cubic root of 420346256 is about 749.0929811609.

The spelling of 420346256 in words is "four hundred twenty million, three hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 217121 434242 868484 1736968 2388331 3473936 4776662 9553324 19106648 26271641 38213296 52543282 105086564 210173128 420346256