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6540345 = 3557769
BaseRepresentation
bin11000111100110000111001
3110022021200000
4120330300321
53133242340
6352103213
7106410030
oct30746071
913267600
106540345
113767949
122234b09
13147cc36
14c23717
15892d30
hex63cc39

6540345 has 48 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 2985984.

The previous prime is 6540337. The next prime is 6540383. The reversal of 6540345 is 5430456.

6540345 is a `hidden beast` number, since 654 + 0 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 6540345 - 23 = 6540337 is a prime.

It is a super-2 number, since 2×65403452 = 85552225438050, which contains 22 as substring.

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

6540345 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8121 + ... + 8889.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 26540345 is an apocalyptic number.

It is an amenable number.

6540345 is an abundant number, since it is smaller than the sum of its proper divisors (6913095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6540345 is an equidigital number, since it uses as much as digits as its factorization.

6540345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6540345 is about 2557.4098224571. The cubic root of 6540345 is about 187.0108851986.

The spelling of 6540345 in words is "six million, five hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 769 945 1215 1701 2307 2835 3845 5383 6921 8505 11535 16149 20763 26915 34605 48447 62289 80745 103815 145341 186867 242235 311445 436023 726705 934335 1308069 2180115 6540345