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420376311 = 3419273149
BaseRepresentation
bin11001000011100…
…110111011110111
31002022000022220000
4121003212323313
51330104020221
6105414042343
713263065625
oct3103467367
91068008800
10420376311
111a6322a43
12b89493b3
13691270a4
143db8a515
1526d8ae26
hex190e6ef7

420376311 has 20 divisors (see below), whose sum is σ = 661023000. Its totient is φ = 265499856.

The previous prime is 420376279. The next prime is 420376339. The reversal of 420376311 is 113673024.

420376311 is a `hidden beast` number, since 4 + 20 + 3 + 7 + 631 + 1 = 666.

It is not a de Polignac number, because 420376311 - 25 = 420376279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420376361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135036 + ... + 138113.

It is an arithmetic number, because the mean of its divisors is an integer number (33051150).

Almost surely, 2420376311 is an apocalyptic number.

420376311 is a deficient number, since it is larger than the sum of its proper divisors (240646689).

420376311 is a wasteful number, since it uses less digits than its factorization.

420376311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273180 (or 273171 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 420376311 is about 20503.0805246431. The cubic root of 420376311 is about 749.1108342623.

The spelling of 420376311 in words is "four hundred twenty million, three hundred seventy-six thousand, three hundred eleven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 273149 819447 2458341 5189831 7375023 15569493 22125069 46708479 140125437 420376311