Search a number
-
+
1244314134 = 23273432109
BaseRepresentation
bin100101000101010…
…1011101000010110
310012201101201002200
41022022223220112
510022021023014
6323245545330
742556332000
oct11212535026
93181351080
101244314134
11589423698
122a8875246
1316aa3b86b
14bb387370
1574390a09
hex4a2aba16

1244314134 has 144 divisors (see below), whose sum is σ = 3248388000. Its totient is φ = 344064672.

The previous prime is 1244314117. The next prime is 1244314213. The reversal of 1244314134 is 4314134421.

1244314134 is a `hidden beast` number, since 1 + 244 + 3 + 1 + 413 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1244314098 and 1244314107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11415672 + ... + 11415780.

It is an arithmetic number, because the mean of its divisors is an integer number (22558250).

Almost surely, 21244314134 is an apocalyptic number.

1244314134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244314134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624194000).

1244314134 is an abundant number, since it is smaller than the sum of its proper divisors (2004073866).

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

1244314134 is a wasteful number, since it uses less digits than its factorization.

1244314134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 164 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1244314134 is about 35274.8371222320. The cubic root of 1244314134 is about 1075.5815520027.

Adding to 1244314134 its reverse (4314134421), we get a palindrome (5558448555).

The spelling of 1244314134 in words is "one billion, two hundred forty-four million, three hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 109 126 129 147 218 258 294 301 327 343 387 441 602 654 686 763 774 882 903 981 1029 1526 1806 1849 1962 2058 2107 2289 2709 3087 3698 4214 4578 4687 5341 5418 5547 6174 6321 6867 9374 10682 11094 12642 12943 13734 14061 14749 16023 16641 18963 25886 28122 29498 32046 32809 33282 37387 37926 38829 42183 44247 48069 65618 74774 77658 84366 88494 90601 96138 98427 112161 116487 132741 181202 196854 201541 224322 229663 232974 265482 271803 295281 336483 403082 459326 543606 590562 604623 634207 672966 688989 815409 1209246 1268414 1377978 1410787 1607641 1630818 1813869 1902621 2066967 2821574 3215282 3627738 3805242 4133934 4232361 4822923 5707863 8464722 9645846 9875509 11415726 12697083 14468769 19751018 25394166 28937538 29626527 59253054 69128563 88879581 138257126 177759162 207385689 414771378 622157067 1244314134