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5341329 = 33759479
BaseRepresentation
bin10100011000000010010001
3101001100221000
4110120002101
52331410304
6310252213
763254250
oct24300221
911040830
105341329
113019024
121957069
131150266
149d0797
15707939
hex518091

5341329 has 32 divisors (see below), whose sum is σ = 9216000. Its totient is φ = 2994192.

The previous prime is 5341319. The next prime is 5341339. The reversal of 5341329 is 9231435.

It is an interprime number because it is at equal distance from previous prime (5341319) and next prime (5341339).

It is not a de Polignac number, because 5341329 - 29 = 5340817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

5341329 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341319) 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 31 ways as a sum of consecutive naturals, for example, 10912 + ... + 11390.

It is an arithmetic number, because the mean of its divisors is an integer number (288000).

Almost surely, 25341329 is an apocalyptic number.

5341329 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

5341329 is a deficient number, since it is larger than the sum of its proper divisors (3874671).

5341329 is a wasteful number, since it uses less digits than its factorization.

5341329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 5341329 is about 2311.1315410422. The cubic root of 5341329 is about 174.8033600794.

The spelling of 5341329 in words is "five million, three hundred forty-one thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 479 531 1239 1437 1593 3353 3717 4311 10059 11151 12933 28261 30177 84783 90531 197827 254349 593481 763047 1780443 5341329