Search a number
-
+
3002313320 = 235432636637
BaseRepresentation
bin1011001011110011…
…1010101001101000
321202020101022121122
42302330322221220
522122043011240
61213525554412
7134254146026
oct26274725150
97666338548
103002313320
111300800486
126b9575a08
1338b014476
14206a49716
1512889e4b5
hexb2f3aa68

3002313320 has 64 divisors (see below), whose sum is σ = 6939630720. Its totient is φ = 1168360704.

The previous prime is 3002313299. The next prime is 3002313341. The reversal of 3002313320 is 233132003.

It is an interprime number because it is at equal distance from previous prime (3002313299) and next prime (3002313341).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449042 + ... + 455678.

It is an arithmetic number, because the mean of its divisors is an integer number (108431730).

Almost surely, 23002313320 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 3002313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469815360).

3002313320 is an abundant number, since it is smaller than the sum of its proper divisors (3937317400).

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

3002313320 is a wasteful number, since it uses less digits than its factorization.

3002313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3002313320 is about 54793.3693068787. The cubic root of 3002313320 is about 1442.6201844823.

Adding to 3002313320 its reverse (233132003), we get a palindrome (3235445323).

The spelling of 3002313320 in words is "three billion, two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 263 344 430 526 860 1052 1315 1720 2104 2630 5260 6637 10520 11309 13274 22618 26548 33185 45236 53096 56545 66370 90472 113090 132740 226180 265480 285391 452360 570782 1141564 1426955 1745531 2283128 2853910 3491062 5707820 6982124 8727655 11415640 13964248 17455310 34910620 69821240 75057833 150115666 300231332 375289165 600462664 750578330 1501156660 3002313320