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1306468284 = 2231127735731
BaseRepresentation
bin100110111011111…
…0001111110111100
310101001100110120020
41031313301332330
510133423441114
6333350052140
744242540302
oct11567617674
93331313506
101306468284
11610515a60
1230564a050
1317a891174
14c5726272
1579a6baa9
hex4ddf1fbc

1306468284 has 48 divisors (see below), whose sum is σ = 3337654656. Its totient is φ = 394459200.

The previous prime is 1306468283. The next prime is 1306468307. The reversal of 1306468284 is 4828646031.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306468283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18699 + ... + 54429.

It is an arithmetic number, because the mean of its divisors is an integer number (69534472).

Almost surely, 21306468284 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 1306468284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668827328).

1306468284 is an abundant number, since it is smaller than the sum of its proper divisors (2031186372).

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

1306468284 is a wasteful number, since it uses less digits than its factorization.

1306468284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36026 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1306468284 is about 36145.1004148557. The cubic root of 1306468284 is about 1093.2000017940.

The spelling of 1306468284 in words is "one billion, three hundred six million, four hundred sixty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 277 554 831 1108 1662 3047 3324 6094 9141 12188 18282 35731 36564 71462 107193 142924 214386 393041 428772 786082 1179123 1572164 2358246 4716492 9897487 19794974 29692461 39589948 59384922 108872357 118769844 217744714 326617071 435489428 653234142 1306468284