[go: up one dir, main page]

Search a number
-
+
3003824 = 241941241
BaseRepresentation
bin1011011101010110110000
312122121110202
423131112300
51232110244
6144214332
734350335
oct13352660
95577422
103003824
1117718aa
12100a3a8
13812315
1458298c
153e504e
hex2dd5b0

3003824 has 40 divisors (see below), whose sum is σ = 6301680. Its totient is φ = 1382400.

The previous prime is 3003821. The next prime is 3003827. The reversal of 3003824 is 4283003.

It is an interprime number because it is at equal distance from previous prime (3003821) and next prime (3003827).

It is a junction number, because it is equal to n+sod(n) for n = 3003796 and 3003805.

It is not an unprimeable number, because it can be changed into a prime (3003821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12344 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (157542).

Almost surely, 23003824 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 3003824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150840).

3003824 is an abundant number, since it is smaller than the sum of its proper divisors (3297856).

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

3003824 is a wasteful number, since it uses less digits than its factorization.

3003824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3003824 is about 1733.1543497335. The cubic root of 3003824 is about 144.2862105939.

Adding to 3003824 its reverse (4283003), we get a palindrome (7286827).

The spelling of 3003824 in words is "three million, three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 241 304 328 482 656 779 964 1558 1928 3116 3856 4579 6232 9158 9881 12464 18316 19762 36632 39524 73264 79048 158096 187739 375478 750956 1501912 3003824