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3023016080 = 24578576299
BaseRepresentation
bin1011010000101111…
…1001000010010000
321210200100010110112
42310023321002100
522142343003310
61215545420452
7134625132650
oct26413710220
97720303415
103023016080
1113114607a7
1270449a728
133923b2716
142096b8360
1512a5dd705
hexb42f9090

3023016080 has 80 divisors (see below), whose sum is σ = 8043235200. Its totient is φ = 1035088896.

The previous prime is 3023016079. The next prime is 3023016083. The reversal of 3023016080 is 806103203.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3023016083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476771 + ... + 483069.

It is an arithmetic number, because the mean of its divisors is an integer number (100540440).

Almost surely, 23023016080 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 3023016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

3023016080 is an abundant number, since it is smaller than the sum of its proper divisors (5020219120).

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

3023016080 is a wasteful number, since it uses less digits than its factorization.

3023016080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3023016080 is about 54981.9614055374. The cubic root of 3023016080 is about 1445.9285037157.

Adding to 3023016080 its reverse (806103203), we get a palindrome (3829119283).

The spelling of 3023016080 in words is "three billion, twenty-three million, sixteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 857 1714 3428 4285 5999 6299 6856 8570 11998 12598 13712 17140 23996 25196 29995 31495 34280 44093 47992 50392 59990 62990 68560 88186 95984 100784 119980 125980 176372 220465 239960 251960 352744 440930 479920 503920 705488 881860 1763720 3527440 5398243 10796486 21592972 26991215 37787701 43185944 53982430 75575402 86371888 107964860 151150804 188938505 215929720 302301608 377877010 431859440 604603216 755754020 1511508040 3023016080