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420346593 = 3246705177
BaseRepresentation
bin11001000011011…
…111101011100001
31002021221211010100
4121003133223201
51330102042333
6105413253013
713262613162
oct3103375341
91067854110
10420346593
111a6302687
12b8934169
13691166c4
143db7d769
1526d82213
hex190dfae1

420346593 has 6 divisors (see below), whose sum is σ = 607167314. Its totient is φ = 280231056.

The previous prime is 420346571. The next prime is 420346609. The reversal of 420346593 is 395643024.

420346593 is a `hidden beast` number, since 4 + 20 + 3 + 46 + 593 = 666.

It can be written as a sum of positive squares in only one way, i.e., 414814689 + 5531904 = 20367^2 + 2352^2 .

It is a de Polignac number, because none of the positive numbers 2k-420346593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420346513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23352580 + ... + 23352597.

Almost surely, 2420346593 is an apocalyptic number.

It is an amenable number.

420346593 is a deficient number, since it is larger than the sum of its proper divisors (186820721).

420346593 is a wasteful number, since it uses less digits than its factorization.

420346593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46705183 (or 46705180 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 420346593 is about 20502.3557914694. The cubic root of 420346593 is about 749.0931813485.

The spelling of 420346593 in words is "four hundred twenty million, three hundred forty-six thousand, five hundred ninety-three".

Divisors: 1 3 9 46705177 140115531 420346593