Search a number
-
+
1244289438 = 23475457
BaseRepresentation
bin100101000101010…
…0101100110011110
310012201100110020000
41022022211212132
510022014230223
6323245235130
742556200000
oct11212454636
93181313200
101244289438
11589407087
122a8862aa6
1316aa30552
14bb37c370
1574388543
hex4a2a599e

1244289438 has 120 divisors (see below), whose sum is σ = 3259908432. Its totient is φ = 354733344.

The previous prime is 1244289373. The next prime is 1244289467. The reversal of 1244289438 is 8349824421.

It is a super-3 number, since 3×12442894383 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1244289393 and 1244289402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2722506 + ... + 2722962.

Almost surely, 21244289438 is an apocalyptic number.

1244289438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244289438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629954216).

1244289438 is an abundant number, since it is smaller than the sum of its proper divisors (2015618994).

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

1244289438 is an frugal number, since it uses more digits than its factorization.

1244289438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 469 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1244289438 is about 35274.4870692686. The cubic root of 1244289438 is about 1075.5744362386.

The spelling of 1244289438 in words is "one billion, two hundred forty-four million, two hundred eighty-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 457 567 686 882 914 1029 1134 1323 1371 2058 2401 2646 2742 3087 3199 3969 4113 4802 6174 6398 7203 7938 8226 9261 9597 12339 14406 16807 18522 19194 21609 22393 24678 27783 28791 33614 37017 43218 44786 50421 55566 57582 64827 67179 74034 86373 100842 129654 134358 151263 156751 172746 194481 201537 259119 302526 313502 388962 403074 453789 470253 518238 604611 907578 940506 1097257 1209222 1361367 1410759 1813833 2194514 2722734 2821518 3291771 3627666 4232277 6583542 7680799 8464554 9875313 12696831 15361598 19750626 23042397 25393662 29625939 46084794 59251878 69127191 88877817 138254382 177755634 207381573 414763146 622144719 1244289438