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428435343 = 32717400033
BaseRepresentation
bin11001100010010…
…110011110001111
31002212011202210200
4121202112132033
51334134412333
6110302504543
713421432430
oct3142263617
91085152720
10428435343
111aa9278a6
12bb595153
136a9b934b
1440c87487
152792dc13
hex1989678f

428435343 has 24 divisors (see below), whose sum is σ = 748863648. Its totient is φ = 230418432.

The previous prime is 428435333. The next prime is 428435353. The reversal of 428435343 is 343534824.

428435343 is a `hidden beast` number, since 4 + 284 + 35 + 343 = 666.

It is an interprime number because it is at equal distance from previous prime (428435333) and next prime (428435353).

It is not a de Polignac number, because 428435343 - 25 = 428435311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428435298 and 428435307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428435333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198946 + ... + 201087.

It is an arithmetic number, because the mean of its divisors is an integer number (31202652).

Almost surely, 2428435343 is an apocalyptic number.

428435343 is a deficient number, since it is larger than the sum of its proper divisors (320428305).

428435343 is a wasteful number, since it uses less digits than its factorization.

428435343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400063 (or 400060 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 428435343 is about 20698.6797405052. The cubic root of 428435343 is about 753.8676316169.

The spelling of 428435343 in words is "four hundred twenty-eight million, four hundred thirty-five thousand, three hundred forty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 400033 1200099 2800231 3600297 6800561 8400693 20401683 25202079 47603927 61205049 142811781 428435343