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1310344040 = 235231917457
BaseRepresentation
bin100111000011010…
…0100001101101000
310101022122101002202
41032012210031220
510140422002130
6334005115332
744320512005
oct11606441550
93338571082
101310344040
11612722965
123069b8b48
1317b61a305
14c60548ac
157a085145
hex4e1a4368

1310344040 has 64 divisors (see below), whose sum is σ = 3092981760. Its totient is φ = 498657280.

The previous prime is 1310344019. The next prime is 1310344043. The reversal of 1310344040 is 404430131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1310344043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171992 + ... + 179448.

It is an arithmetic number, because the mean of its divisors is an integer number (48327840).

Almost surely, 21310344040 is an apocalyptic number.

1310344040 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 1310344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546490880).

1310344040 is an abundant number, since it is smaller than the sum of its proper divisors (1782637720).

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

1310344040 is a wasteful number, since it uses less digits than its factorization.

1310344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1310344040 is about 36198.6745613703. The cubic root of 1310344040 is about 1094.2799600343.

Adding to 1310344040 its reverse (404430131), we get a palindrome (1714774171).

The spelling of 1310344040 in words is "one billion, three hundred ten million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 191 230 382 460 764 920 955 1528 1910 3820 4393 7457 7640 8786 14914 17572 21965 29828 35144 37285 43930 59656 74570 87860 149140 171511 175720 298280 343022 686044 857555 1372088 1424287 1715110 2848574 3430220 5697148 6860440 7121435 11394296 14242870 28485740 32758601 56971480 65517202 131034404 163793005 262068808 327586010 655172020 1310344040