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428360 = 23510709
BaseRepresentation
bin1101000100101001000
3210202121012
41220211020
5102201420
613103052
73432602
oct1504510
9722535
10428360
11272919
12187a88
1311cc8a
14b2172
1586dc5
hex68948

428360 has 16 divisors (see below), whose sum is σ = 963900. Its totient is φ = 171328.

The previous prime is 428353. The next prime is 428369. The reversal of 428360 is 63824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 407044 + 21316 = 638^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (428369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5315 + ... + 5394.

2428360 is an apocalyptic number.

428360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428360 is an abundant number, since it is smaller than the sum of its proper divisors (535540).

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

428360 is a wasteful number, since it uses less digits than its factorization.

428360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 428360 is about 654.4921695483. The cubic root of 428360 is about 75.3823438267.

The spelling of 428360 in words is "four hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 10709 21418 42836 53545 85672 107090 214180 428360