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535341305 = 51729415297
BaseRepresentation
bin11111111010001…
…010100011111001
31101022100011012202
4133322022203321
52044021410210
6125042115545
716160216552
oct3772124371
91338304182
10535341305
11255205934
1212b34bbb5
1386baa305
1451155329
1531ee99a5
hex1fe8a8f9

535341305 has 32 divisors (see below), whose sum is σ = 720951840. Its totient is φ = 379617280.

The previous prime is 535341299. The next prime is 535341311. The reversal of 535341305 is 503143535.

It is an interprime number because it is at equal distance from previous prime (535341299) and next prime (535341311).

It can be written as a sum of positive squares in 16 ways, for example, as 86918329 + 448422976 = 9323^2 + 21176^2 .

It is not a de Polignac number, because 535341305 - 26 = 535341241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon 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, 98417 + ... + 103713.

It is an arithmetic number, because the mean of its divisors is an integer number (22529745).

Almost surely, 2535341305 is an apocalyptic number.

It is an amenable number.

535341305 is a deficient number, since it is larger than the sum of its proper divisors (185610535).

535341305 is a wasteful number, since it uses less digits than its factorization.

535341305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389.

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 535341305 is about 23137.4437870738. The cubic root of 535341305 is about 811.9767322678.

The spelling of 535341305 in words is "five hundred thirty-five million, three hundred forty-one thousand, three hundred five".

Divisors: 1 5 17 29 41 85 145 205 493 697 1189 2465 3485 5297 5945 20213 26485 90049 101065 153613 217177 450245 768065 1085885 2611421 3692009 6298133 13057105 18460045 31490665 107068261 535341305