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344500065 = 32571384127
BaseRepresentation
bin10100100010001…
…010011101100001
3220000020102020200
4110202022131201
51201143000230
654103455413
711352126240
oct2442123541
9800212220
10344500065
11167508aa8
1297457569
13564ab9c0
1433a78957
152039e160
hex1488a761

344500065 has 48 divisors (see below), whose sum is σ = 734942208. Its totient is φ = 145369728.

The previous prime is 344500033. The next prime is 344500109. The reversal of 344500065 is 560005443.

It is not a de Polignac number, because 344500065 - 25 = 344500033 is a prime.

It is a Curzon 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, 37969 + ... + 46158.

It is an arithmetic number, because the mean of its divisors is an integer number (15311296).

Almost surely, 2344500065 is an apocalyptic number.

344500065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344500065 is an abundant number, since it is smaller than the sum of its proper divisors (390442143).

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

344500065 is a wasteful number, since it uses less digits than its factorization.

344500065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84158 (or 84155 counting only the distinct ones).

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

The square root of 344500065 is about 18560.7129442810. The cubic root of 344500065 is about 701.0189683804.

The spelling of 344500065 in words is "three hundred forty-four million, five hundred thousand, sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 84127 252381 420635 588889 757143 1093651 1261905 1766667 2944445 3280953 3785715 5300001 5468255 7655557 8833335 9842859 16404765 22966671 26500005 38277785 49214295 68900013 114833355 344500065