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648002340 = 223253600013
BaseRepresentation
bin100110100111111…
…011101100100100
31200011022221002200
4212213323230210
52311342033330
6144144534500
722025633436
oct4647735444
91604287080
10648002340
11302864827
12161021430
13a433494b
14620c0656
153bd50a60
hex269fbb24

648002340 has 36 divisors (see below), whose sum is σ = 1965607644. Its totient is φ = 172800576.

The previous prime is 648002339. The next prime is 648002357. The reversal of 648002340 is 43200846.

It can be written as a sum of positive squares in 2 ways, for example, as 136609344 + 511392996 = 11688^2 + 22614^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1799827 + ... + 1800186.

Almost surely, 2648002340 is an apocalyptic number.

648002340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648002340 is an abundant number, since it is smaller than the sum of its proper divisors (1317605304).

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

648002340 is a wasteful number, since it uses less digits than its factorization.

648002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600028 (or 3600023 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 648002340 is about 25455.8900846150. The cubic root of 648002340 is about 865.3507838079.

The spelling of 648002340 in words is "six hundred forty-eight million, two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3600013 7200026 10800039 14400052 18000065 21600078 32400117 36000130 43200156 54000195 64800234 72000260 108000390 129600468 162000585 216000780 324001170 648002340