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1310144340 = 2235413311609
BaseRepresentation
bin100111000010111…
…0011011101010100
310101022021020011110
41032011303131110
510140344104330
6334000535020
744316020541
oct11605633524
93338236143
101310144340
116125a691a
12306921470
1317b57a44b
14c6001bc8
157a045db0
hex4e173754

1310144340 has 96 divisors (see below), whose sum is σ = 3771573120. Its totient is φ = 339609600.

The previous prime is 1310144333. The next prime is 1310144369. The reversal of 1310144340 is 434410131.

It is a congruent number.

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, 813456 + ... + 815064.

It is an arithmetic number, because the mean of its divisors is an integer number (39287220).

Almost surely, 21310144340 is an apocalyptic number.

1310144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885786560).

1310144340 is an abundant number, since it is smaller than the sum of its proper divisors (2461428780).

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

1310144340 is a wasteful number, since it uses less digits than its factorization.

1310144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1991 counting only the distinct ones).

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

The square root of 1310144340 is about 36195.9160679765. The cubic root of 1310144340 is about 1094.2243667947.

Adding to 1310144340 its reverse (434410131), we get a palindrome (1744554471).

The spelling of 1310144340 in words is "one billion, three hundred ten million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 331 410 492 615 662 820 993 1230 1324 1609 1655 1986 2460 3218 3310 3972 4827 4965 6436 6620 8045 9654 9930 13571 16090 19308 19860 24135 27142 32180 40713 48270 54284 65969 67855 81426 96540 131938 135710 162852 197907 203565 263876 271420 329845 395814 407130 532579 659690 791628 814260 989535 1065158 1319380 1597737 1979070 2130316 2662895 3195474 3958140 5325790 6390948 7988685 10651580 15977370 21835739 31954740 43671478 65507217 87342956 109178695 131014434 218357390 262028868 327536085 436714780 655072170 1310144340