Search a number
-
+
3023104 = 2872241
BaseRepresentation
bin1011100010000100000000
312200120220211
423202010000
51233214404
6144443504
734460500
oct13420400
95616824
103023104
111785337
121019594
1381b026
14589a00
153eab04
hex2e2100

3023104 has 54 divisors (see below), whose sum is σ = 7048734. Its totient is φ = 1290240.

The previous prime is 3023081. The next prime is 3023113. The reversal of 3023104 is 4013203.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 200704 = 1680^2 + 448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12424 + ... + 12664.

Almost surely, 23023104 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 3023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524367).

3023104 is an abundant number, since it is smaller than the sum of its proper divisors (4025630).

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

3023104 is an equidigital number, since it uses as much as digits as its factorization.

3023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3023104 is about 1738.7075659811. The cubic root of 3023104 is about 144.5942521152.

Adding to 3023104 its reverse (4013203), we get a palindrome (7036307).

Subtracting 3023104 from its reverse (4013203), we obtain a palindrome (990099).

The spelling of 3023104 in words is "three million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 241 256 392 448 482 784 896 964 1568 1687 1792 1928 3136 3374 3856 6272 6748 7712 11809 12544 13496 15424 23618 26992 30848 47236 53984 61696 94472 107968 188944 215936 377888 431872 755776 1511552 3023104