Search a number
-
+
1349349804 = 22321143109727
BaseRepresentation
bin101000001101101…
…0111000110101100
310111001001001221200
41100123113012230
510230413143204
6341521125500
745303166305
oct12033270654
93431031850
101349349804
11632744530
12317a89890
1318672644a
14cb2c97ac
157d6dc539
hex506d71ac

1349349804 has 144 divisors (see below), whose sum is σ = 3847683840. Its totient is φ = 395176320.

The previous prime is 1349349791. The next prime is 1349349839. The reversal of 1349349804 is 4089439431.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1349349804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1855689 + ... + 1856415.

Almost surely, 21349349804 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 1349349804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923841920).

1349349804 is an abundant number, since it is smaller than the sum of its proper divisors (2498334036).

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

1349349804 is a wasteful number, since it uses less digits than its factorization.

1349349804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1349349804 is about 36733.4970292783. The cubic root of 1349349804 is about 1105.0319883180.

It can be divided in two parts, 1349 and 349804, that added together give a palindrome (351153).

The spelling of 1349349804 in words is "one billion, three hundred forty-nine million, three hundred forty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 109 129 132 172 198 218 258 327 387 396 436 473 516 654 727 774 946 981 1199 1308 1419 1454 1548 1892 1962 2181 2398 2838 2908 3597 3924 4257 4362 4687 4796 5676 6543 7194 7997 8514 8724 9374 10791 13086 14061 14388 15994 17028 18748 21582 23991 26172 28122 31261 31988 42183 43164 47982 51557 56244 62522 71973 79243 84366 93783 95964 103114 125044 143946 154671 158486 168732 187566 206228 237729 281349 287892 309342 316972 343871 375132 464013 475458 562698 618684 687742 713187 871673 928026 950916 1031613 1125396 1375484 1426374 1743346 1856052 2063226 2615019 2852748 3094839 3407449 3486692 4126452 5230038 6189678 6814898 7845057 10222347 10460076 12379356 13629796 15690114 20444694 30667041 31380228 37481939 40889388 61334082 74963878 112445817 122668164 149927756 224891634 337337451 449783268 674674902 1349349804