Search a number
-
+
1244361006 = 2327101277353
BaseRepresentation
bin100101000101011…
…0111000100101110
310012201111002101200
41022022313010232
510022024023011
6323250550330
742556615440
oct11212670456
93181432350
101244361006
11589455929
122a88983a6
1316aa56cb5
14bb39a490
157439e856
hex4a2b712e

1244361006 has 96 divisors (see below), whose sum is σ = 3131863488. Its totient is φ = 349747200.

The previous prime is 1244360969. The next prime is 1244361031. The reversal of 1244361006 is 6001634421.

1244361006 is a `hidden beast` number, since 1 + 2 + 4 + 43 + 610 + 0 + 6 = 666.

It is a congruent number.

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, 3524926 + ... + 3525278.

It is an arithmetic number, because the mean of its divisors is an integer number (32623578).

Almost surely, 21244361006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244361006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565931744).

1244361006 is an abundant number, since it is smaller than the sum of its proper divisors (1887502482).

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

1244361006 is a wasteful number, since it uses less digits than its factorization.

1244361006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1244361006 is about 35275.5014989156. The cubic root of 1244361006 is about 1075.5950571737.

Adding to 1244361006 its reverse (6001634421), we get a palindrome (7245995427).

The spelling of 1244361006 in words is "one billion, two hundred forty-four million, three hundred sixty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 277 303 353 554 606 706 707 831 909 1059 1414 1662 1818 1939 2118 2121 2471 2493 3177 3878 4242 4942 4986 5817 6354 6363 7413 11634 12726 14826 17451 22239 27977 34902 35653 44478 55954 71306 83931 97781 106959 167862 195562 195839 213918 249571 251793 293343 320877 391678 499142 503586 586686 587517 641754 684467 748713 880029 1175034 1368934 1497426 1760058 1762551 2053401 2246139 3525102 4106802 4492278 6160203 9875881 12320406 19751762 29627643 59255286 69131167 88882929 138262334 177765858 207393501 414787002 622180503 1244361006