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540345 = 351317163
BaseRepresentation
bin10000011111010111001
31000110012210
42003322321
5114242340
615325333
74410231
oct2037271
91013183
10540345
11339a73
12220849
1315bc40
14100cc1
15aa180
hex83eb9

540345 has 32 divisors (see below), whose sum is σ = 991872. Its totient is φ = 248832.

The previous prime is 540343. The next prime is 540347. The reversal of 540345 is 543045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540343) and next prime (540347).

It is not a de Polignac number, because 540345 - 21 = 540343 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540345.

It is not an unprimeable number, because it can be changed into a prime (540343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2540345 is an apocalyptic number.

It is an amenable number.

540345 is a deficient number, since it is larger than the sum of its proper divisors (451527).

540345 is a wasteful number, since it uses less digits than its factorization.

540345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 540345 is about 735.0816281203. The cubic root of 540345 is about 81.4498669185.

The spelling of 540345 in words is "five hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 163 195 221 255 489 663 815 1105 2119 2445 2771 3315 6357 8313 10595 13855 31785 36023 41565 108069 180115 540345