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1344736737 = 3217414632
BaseRepresentation
bin101000000100111…
…0000110111100001
310110201100201000100
41100021300313201
510223223033422
6341234213013
745216034161
oct12011606741
93421321010
101344736737
11630083683
12316424169
1318579c816
14ca8485a1
157d0ca7ac
hex50270de1

1344736737 has 36 divisors (see below), whose sum is σ = 2111378724. Its totient is φ = 821399040.

The previous prime is 1344736717. The next prime is 1344736741. The reversal of 1344736737 is 7376374431.

It can be written as a sum of positive squares in 2 ways, for example, as 493906176 + 850830561 = 22224^2 + 29169^2 .

It is not a de Polignac number, because 1344736737 - 219 = 1344212449 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1344736692 and 1344736701.

It is not an unprimeable number, because it can be changed into a prime (1344736717) 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 35 ways as a sum of consecutive naturals, for example, 2904168 + ... + 2904630.

It is an arithmetic number, because the mean of its divisors is an integer number (58649409).

Almost surely, 21344736737 is an apocalyptic number.

1344736737 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1344736737 is a deficient number, since it is larger than the sum of its proper divisors (766641987).

1344736737 is an equidigital number, since it uses as much as digits as its factorization.

1344736737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 524 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 1344736737 is about 36670.6522576297. The cubic root of 1344736737 is about 1103.7712806945.

The spelling of 1344736737 in words is "one billion, three hundred forty-four million, seven hundred thirty-six thousand, seven hundred thirty-seven".

Divisors: 1 3 9 17 41 51 123 153 369 463 697 1389 2091 4167 6273 7871 18983 23613 56949 70839 170847 214369 322711 643107 968133 1929321 2904399 3644273 8789129 10932819 26367387 32798457 79102161 149415193 448245579 1344736737