Search a number
-
+
3003468 = 2231321481
BaseRepresentation
bin1011011101010001001100
312122120222120
423131101030
51232102333
6144212540
734346316
oct13352114
95576876
103003468
111771606
12100a150
13812100
145827b6
153e4db3
hex2dd44c

3003468 has 36 divisors (see below), whose sum is σ = 7593768. Its totient is φ = 923520.

The previous prime is 3003461. The next prime is 3003487. The reversal of 3003468 is 8643003.

3003468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3003461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288 + ... + 2768.

It is an arithmetic number, because the mean of its divisors is an integer number (210938).

Almost surely, 23003468 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 3003468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796884).

3003468 is an abundant number, since it is smaller than the sum of its proper divisors (4590300).

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

3003468 is a wasteful number, since it uses less digits than its factorization.

With its successor (3003469) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1499).

3003468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3003468 is about 1733.0516437775. The cubic root of 3003468 is about 144.2805103131.

It can be divided in two parts, 300 and 3468, that multiplied together give a square (1040400 = 10202).

The spelling of 3003468 in words is "three million, three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1481 2028 2962 4443 5924 8886 17772 19253 38506 57759 77012 115518 231036 250289 500578 750867 1001156 1501734 3003468