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1310041344 = 28310316561
BaseRepresentation
bin100111000010101…
…1010010100000000
310101022001222212210
41032011122110000
510140332310334
6333554422120
744315111343
oct11605322400
93338058783
101310041344
116125364a7
12306891940
1317b5425c1
14c5db645a
157a0255e9
hex4e15a500

1310041344 has 72 divisors (see below), whose sum is σ = 3520683712. Its totient is φ = 432414720.

The previous prime is 1310041321. The next prime is 1310041367. The reversal of 1310041344 is 4431400131.

It is an interprime number because it is at equal distance from previous prime (1310041321) and next prime (1310041367).

It is a self number, because there is not a number n which added to its sum of digits gives 1310041344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70824 + ... + 87384.

Almost surely, 21310041344 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 1310041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760341856).

1310041344 is an abundant number, since it is smaller than the sum of its proper divisors (2210642368).

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

1310041344 is a wasteful number, since it uses less digits than its factorization.

1310041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683 (or 16669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1310041344 is about 36194.4932828186. The cubic root of 1310041344 is about 1094.1956921714.

Adding to 1310041344 its reverse (4431400131), we get a palindrome (5741441475).

The spelling of 1310041344 in words is "one billion, three hundred ten million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 2472 3296 4944 6592 9888 13184 16561 19776 26368 33122 39552 49683 66244 79104 99366 132488 198732 264976 397464 529952 794928 1059904 1589856 1705783 2119808 3179712 3411566 4239616 5117349 6359424 6823132 10234698 12718848 13646264 20469396 27292528 40938792 54585056 81877584 109170112 163755168 218340224 327510336 436680448 655020672 1310041344