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428834144 = 2537362191
BaseRepresentation
bin11001100011110…
…111110101100000
31002212221000212002
4121203313311200
51334240143034
6110315223132
713425013214
oct3143676540
91085830762
10428834144
1120007a492
12bb747aa8
136aac8a1b
1440d4c944
15279abe7e
hex198f7d60

428834144 has 24 divisors (see below), whose sum is σ = 867087648. Its totient is φ = 208621440.

The previous prime is 428834143. The next prime is 428834167. The reversal of 428834144 is 441438824.

It is a junction number, because it is equal to n+sod(n) for n = 428834098 and 428834107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428834143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179912 + ... + 182279.

It is an arithmetic number, because the mean of its divisors is an integer number (36128652).

Almost surely, 2428834144 is an apocalyptic number.

It is an amenable number.

428834144 is an abundant number, since it is smaller than the sum of its proper divisors (438253504).

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

428834144 is a wasteful number, since it uses less digits than its factorization.

428834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362238 (or 362230 counting only the distinct ones).

The product of its digits is 98304, while the sum is 38.

The square root of 428834144 is about 20708.3109885862. The cubic root of 428834144 is about 754.1014669247.

The spelling of 428834144 in words is "four hundred twenty-eight million, eight hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 362191 724382 1448764 2897528 5795056 11590112 13401067 26802134 53604268 107208536 214417072 428834144