Search a number
-
+
3013534496 = 257211091733
BaseRepresentation
bin1011001110011110…
…1110001100100000
321210000111102011202
42303213232030200
522132431100441
61215010300332
7134451422600
oct26347561440
97700442152
103013534496
111307075085
127012876a8
13390442b0b
1420832ac00
1512986919b
hexb39ee320

3013534496 has 72 divisors (see below), whose sum is σ = 6911741340. Its totient is φ = 1289605632.

The previous prime is 3013534493. The next prime is 3013534519. The reversal of 3013534496 is 6944353103.

3013534496 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 2 ways, for example, as 2645662096 + 367872400 = 51436^2 + 19180^2 .

It is not an unprimeable number, because it can be changed into a prime (3013534493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1738046 + ... + 1739778.

Almost surely, 23013534496 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 3013534496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455870670).

3013534496 is an abundant number, since it is smaller than the sum of its proper divisors (3898206844).

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

3013534496 is a wasteful number, since it uses less digits than its factorization.

3013534496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 3013534496 is about 54895.6691916585. The cubic root of 3013534496 is about 1444.4152191291.

Adding to 3013534496 its reverse (6944353103), we get a palindrome (9957887599).

The spelling of 3013534496 in words is "three billion, thirteen million, five hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1109 1568 1733 2218 3466 4436 6932 7763 8872 12131 13864 15526 17744 24262 27728 31052 35488 48524 54341 55456 62104 84917 97048 108682 124208 169834 194096 217364 248416 339668 388192 434728 679336 869456 1358672 1738912 1921897 2717344 3843794 7687588 13453279 15375176 26906558 30750352 53813116 61500704 94172953 107626232 188345906 215252464 376691812 430504928 753383624 1506767248 3013534496