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390224 = 24293
BaseRepresentation
bin1011111010001010000
3201211021202
41133101100
544441344
612210332
73213452
oct1372120
9654252
10390224
112471aa
121699a8
13108803
14a22d2
157a94e
hex5f450

390224 has 20 divisors (see below), whose sum is σ = 783060. Its totient is φ = 188384.

The previous prime is 390223. The next prime is 390263. The reversal of 390224 is 422093.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 322624 = 260^2 + 568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 390196 and 390205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390223) 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, 13442 + ... + 13470.

It is an arithmetic number, because the mean of its divisors is an integer number (39153).

390224 is a Friedman number, since it can be written as 29^3*(2+0)^4, using all its digits and the basic arithmetic operations.

2390224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391530).

390224 is an abundant number, since it is smaller than the sum of its proper divisors (392836).

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

390224 is an frugal number, since it uses more digits than its factorization.

390224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 390224 is about 624.6791176276. The cubic root of 390224 is about 73.0754208939.

The spelling of 390224 in words is "three hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 24389 48778 97556 195112 390224