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1077345 = 32589269
BaseRepresentation
bin100000111000001100001
32000201211200
410013001201
5233433340
635031413
712104643
oct4070141
92021750
101077345
11676475
1243b569
132b94a9
14200893
15164330
hex107061

1077345 has 24 divisors (see below), whose sum is σ = 1895400. Its totient is φ = 566016.

The previous prime is 1077337. The next prime is 1077347. The reversal of 1077345 is 5437701.

It can be written as a sum of positive squares in 4 ways, for example, as 12321 + 1065024 = 111^2 + 1032^2 .

It is not a de Polignac number, because 1077345 - 23 = 1077337 is a prime.

It is a super-3 number, since 3×10773453 = 3751333332377515875, which contains 333 as substring.

1077345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1077347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

21077345 is an apocalyptic number.

1077345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1077345 is a deficient number, since it is larger than the sum of its proper divisors (818055).

1077345 is a wasteful number, since it uses less digits than its factorization.

1077345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1077345 is about 1037.9523110432. The cubic root of 1077345 is about 102.5144139952.

The spelling of 1077345 in words is "one million, seventy-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 89 267 269 445 801 807 1335 1345 2421 4005 4035 12105 23941 71823 119705 215469 359115 1077345