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1349412246 = 2327135913963
BaseRepresentation
bin101000001101110…
…0110010110010110
310111001011020121100
41100123212112112
510230422142441
6341522330530
745303546330
oct12033462626
93431136540
101349412246
11632787436
12317ab9a46
131867489b0
14cb304450
157d700cb6
hex506e6596

1349412246 has 96 divisors (see below), whose sum is σ = 3659685120. Its totient is φ = 349831872.

The previous prime is 1349412241. The next prime is 1349412301. The reversal of 1349412246 is 6422149431.

1349412246 is a `hidden beast` number, since 1 + 3 + 494 + 122 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1349412246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349412241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89661 + ... + 103623.

It is an arithmetic number, because the mean of its divisors is an integer number (38121720).

Almost surely, 21349412246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349412246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829842560).

1349412246 is an abundant number, since it is smaller than the sum of its proper divisors (2310272874).

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

1349412246 is a wasteful number, since it uses less digits than its factorization.

1349412246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14047 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1349412246 is about 36734.3469521373. The cubic root of 1349412246 is about 1105.0490334022.

It can be divided in two parts, 1349 and 412246, that added together give a triangular number (413595 = T909).

The spelling of 1349412246 in words is "one billion, three hundred forty-nine million, four hundred twelve thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 59 63 78 91 117 118 126 177 182 234 273 354 413 531 546 767 819 826 1062 1239 1534 1638 2301 2478 3717 4602 5369 6903 7434 10738 13806 13963 16107 27926 32214 41889 48321 83778 96642 97741 125667 181519 195482 251334 293223 363038 544557 586446 823817 879669 1089114 1270633 1633671 1647634 1759338 2471451 2541266 3267342 3811899 4942902 5766719 7414353 7623798 10709621 11435697 11533438 14828706 17300157 21419242 22871394 32128863 34600314 51900471 64257726 74967347 96386589 103800942 149934694 192773178 224902041 449804082 674706123 1349412246