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1300444314 = 2313411512693
BaseRepresentation
bin100110110000011…
…0011010010011010
310100122000102020020
41031200303102122
510130403204224
6333013011310
744140410561
oct11540632232
93318012206
101300444314
11608081074
12303623b36
131795622a0
14c49d8bd8
157927bc79
hex4d83349a

1300444314 has 64 divisors (see below), whose sum is σ = 2889347328. Its totient is φ = 387648000.

The previous prime is 1300444289. The next prime is 1300444351. The reversal of 1300444314 is 4134440031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481552 + ... + 484244.

It is an arithmetic number, because the mean of its divisors is an integer number (45146052).

Almost surely, 21300444314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300444314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444673664).

1300444314 is an abundant number, since it is smaller than the sum of its proper divisors (1588903014).

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

1300444314 is a wasteful number, since it uses less digits than its factorization.

1300444314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1300444314 is about 36061.6737548328. The cubic root of 1300444314 is about 1091.5172076515.

Adding to 1300444314 its reverse (4134440031), we get a palindrome (5434884345).

The spelling of 1300444314 in words is "one billion, three hundred million, four hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 151 246 302 453 533 906 1066 1599 1963 2693 3198 3926 5386 5889 6191 8079 11778 12382 16158 18573 35009 37146 70018 80483 105027 110413 160966 210054 220826 241449 331239 406643 482898 662478 813286 1219929 1435369 2439858 2870738 4306107 5286359 8612214 10572718 15859077 16672363 31718154 33344726 50017089 100034178 216740719 433481438 650222157 1300444314