Search a number
-
+
3002301144 = 2332311345117
BaseRepresentation
bin1011001011110011…
…0111101011011000
321202020100200220200
42302330313223120
522122042114034
61213525422200
7134254065363
oct26274675330
97666320820
103002301144
1113007a2317
126b956a960
1338b00ba6b
14206a450da
1512889aa99
hexb2f37ad8

3002301144 has 48 divisors (see below), whose sum is σ = 8393536320. Its totient is φ = 968483520.

The previous prime is 3002301143. The next prime is 3002301161. The reversal of 3002301144 is 4411032003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002301143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670327 + ... + 674790.

It is an arithmetic number, because the mean of its divisors is an integer number (174865340).

Almost surely, 23002301144 is an apocalyptic number.

It is an amenable number.

3002301144 is an abundant number, since it is smaller than the sum of its proper divisors (5391235176).

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

3002301144 is a wasteful number, since it uses less digits than its factorization.

3002301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345160 (or 1345153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3002301144 is about 54793.2581984317. The cubic root of 3002301144 is about 1442.6182342786.

Adding to 3002301144 its reverse (4411032003), we get a palindrome (7413333147).

The spelling of 3002301144 in words is "three billion, two million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1345117 2690234 4035351 5380468 8070702 10760936 12106053 16141404 24212106 32282808 41698627 48424212 83397254 96848424 125095881 166794508 250191762 333589016 375287643 500383524 750575286 1000767048 1501150572 3002301144