Search a number
-
+
1305348044 = 2272111346573
BaseRepresentation
bin100110111001110…
…0000011111001100
310100222020112212212
41031303200133030
510133132114134
6333310045552
744230163300
oct11563403714
93328215785
101305348044
1160a920340
123051a98b8
1317a58b2c0
14c5513d00
15798e9bce
hex4dce07cc

1305348044 has 72 divisors (see below), whose sum is σ = 3121948368. Its totient is φ = 469445760.

The previous prime is 1305348041. The next prime is 1305348067. The reversal of 1305348044 is 4408435031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305348044.

It is not an unprimeable number, because it can be changed into a prime (1305348041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4742 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (43360394).

Almost surely, 21305348044 is an apocalyptic number.

1305348044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305348044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560974184).

1305348044 is an abundant number, since it is smaller than the sum of its proper divisors (1816600324).

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

1305348044 is a wasteful number, since it uses less digits than its factorization.

1305348044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46615 (or 46606 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1305348044 is about 36129.6006620610. The cubic root of 1305348044 is about 1092.8874552187.

The spelling of 1305348044 in words is "one billion, three hundred five million, three hundred forty-eight thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 46573 93146 186292 326011 512303 605449 652022 1024606 1210898 1304044 2049212 2282077 2421796 3586121 4238143 4564154 6659939 7172242 8476286 9128308 13319878 14344484 16952572 25102847 26639756 29667001 46619573 50205694 59334002 93239146 100411388 118668004 186478292 326337011 652674022 1305348044