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3003000340 = 225717720921
BaseRepresentation
bin1011001011111110…
…0010011000010100
321202021200020000211
42302333202120110
522122232002330
61213552415204
7134263040014
oct26277423024
97667606024
103003000340
11130112a66a
126b9847504
1338b1c50a2
14206b87c44
15128987d2a
hexb2fe2614

3003000340 has 24 divisors (see below), whose sum is σ = 6307480872. Its totient is φ = 1200975360.

The previous prime is 3003000323. The next prime is 3003000347. The reversal of 3003000340 is 430003003.

3003000340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1236647556 + 1766352784 = 35166^2 + 42028^2 .

It is a super-2 number, since 2×30030003402 = 18036022084080231200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3003000340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003000347) 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, 133080 + ... + 154000.

It is an arithmetic number, because the mean of its divisors is an integer number (262811703).

Almost surely, 23003000340 is an apocalyptic number.

It is an amenable number.

3003000340 is an abundant number, since it is smaller than the sum of its proper divisors (3304480532).

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

3003000340 is a wasteful number, since it uses less digits than its factorization.

3003000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28107 (or 28105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 3003000340 is about 54799.6381374914. The cubic root of 3003000340 is about 1442.7302144519.

Adding to 3003000340 its reverse (430003003), we get a palindrome (3433003343).

The spelling of 3003000340 in words is "three billion, three million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 7177 14354 20921 28708 35885 41842 71770 83684 104605 143540 209210 418420 150150017 300300034 600600068 750750085 1501500170 3003000340