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3034687744 = 281123132
BaseRepresentation
bin1011010011100001…
…1010100100000000
321211111022002222101
42310320122210000
522203340001434
61221043520144
7135126264064
oct26470324400
97744262871
103034687744
111318002900
12708389054
1339493b12a
1420b075aa4
1512b646b14
hexb4e1a900

3034687744 has 81 divisors (see below), whose sum is σ = 6679607529. Its totient is φ = 1374996480.

The previous prime is 3034687741. The next prime is 3034687753. The reversal of 3034687744 is 4477864303.

The square root of 3034687744 is 55088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19360000 + 3015327744 = 4400^2 + 54912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3034687694 and 3034687703.

It is not an unprimeable number, because it can be changed into a prime (3034687741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9695332 + ... + 9695644.

Almost surely, 23034687744 is an apocalyptic number.

3034687744 is the 55088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034687744

3034687744 is an abundant number, since it is smaller than the sum of its proper divisors (3644919785).

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

3034687744 is an frugal number, since it uses more digits than its factorization.

3034687744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The cubic root of 3034687744 is about 1447.7869918551.

The spelling of 3034687744 in words is "three billion, thirty-four million, six hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 313 352 484 626 704 968 1252 1408 1936 2504 2816 3443 3872 5008 6886 7744 10016 13772 15488 20032 27544 30976 37873 40064 55088 75746 80128 97969 110176 151492 195938 220352 302984 391876 440704 605968 783752 881408 1077659 1211936 1567504 2155318 2423872 3135008 4310636 4847744 6270016 8621272 9695488 11854249 12540032 17242544 23708498 25080064 34485088 47416996 68970176 94833992 137940352 189667984 275880704 379335968 758671936 1517343872 3034687744