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1306463048 = 231171211991
BaseRepresentation
bin100110111011111…
…0000101101001000
310101001100012101022
41031313300231020
510133423304143
6333350012012
744242516112
oct11567605510
93331305338
101306463048
11610512030
12305647008
1317a88b977
14c57243b2
1579a6a268
hex4ddf0b48

1306463048 has 64 divisors (see below), whose sum is σ = 2725539840. Its totient is φ = 582120000.

The previous prime is 1306463033. The next prime is 1306463057. The reversal of 1306463048 is 8403646031.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1306462999 and 1306463017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317833 + ... + 1318823.

It is an arithmetic number, because the mean of its divisors is an integer number (42586560).

Almost surely, 21306463048 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 1306463048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362769920).

1306463048 is an abundant number, since it is smaller than the sum of its proper divisors (1419076792).

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

1306463048 is a wasteful number, since it uses less digits than its factorization.

1306463048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 1306463048 is about 36145.0279844960. The cubic root of 1306463048 is about 1093.1985413675.

The spelling of 1306463048 in words is "one billion, three hundred six million, four hundred sixty-three thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 142 211 284 422 568 781 844 991 1562 1688 1982 2321 3124 3964 4642 6248 7928 9284 10901 14981 18568 21802 29962 43604 59924 70361 87208 119848 140722 164791 209101 281444 329582 418202 562888 659164 773971 836404 1318328 1547942 1672808 2300111 3095884 4600222 6191768 9200444 14846171 18400888 29692342 59384684 118769368 163307881 326615762 653231524 1306463048