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4230824 = 2313172393
BaseRepresentation
bin10000001000111010101000
321221221121012
4100020322220
52040341244
6230403052
750650523
oct20107250
97857535
104230824
11242a754
121500488
13b51960
147c1bba
1558889e
hex408ea8

4230824 has 32 divisors (see below), whose sum is σ = 9049320. Its totient is φ = 1837056.

The previous prime is 4230817. The next prime is 4230847. The reversal of 4230824 is 4280324.

It can be written as a sum of positive squares in 4 ways, for example, as 2220100 + 2010724 = 1490^2 + 1418^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4230824.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 2964.

Almost surely, 24230824 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 4230824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524660).

4230824 is an abundant number, since it is smaller than the sum of its proper divisors (4818496).

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

4230824 is a wasteful number, since it uses less digits than its factorization.

4230824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4230824 is about 2056.8966916207. The cubic root of 4230824 is about 161.7366039325.

The spelling of 4230824 in words is "four million, two hundred thirty thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2393 4786 9572 19144 31109 40681 62218 81362 124436 162724 248872 325448 528853 1057706 2115412 4230824