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340648020 = 223251892489
BaseRepresentation
bin10100010011011…
…110000001010100
3212201222201020100
4110103132001110
51144201214040
653445134100
711304313626
oct2423360124
9781881210
10340648020
11165317999
12960ba330
135576059b
1433354c16
151ed8cb30
hex144de054

340648020 has 36 divisors (see below), whose sum is σ = 1033299540. Its totient is φ = 90839424.

The previous prime is 340647977. The next prime is 340648031. The reversal of 340648020 is 20846043.

It can be written as a sum of positive squares in 2 ways, for example, as 194769936 + 145878084 = 13956^2 + 12078^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946065 + ... + 946424.

It is an arithmetic number, because the mean of its divisors is an integer number (28702765).

Almost surely, 2340648020 is an apocalyptic number.

340648020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340648020 is an abundant number, since it is smaller than the sum of its proper divisors (692651520).

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

340648020 is a wasteful number, since it uses less digits than its factorization.

340648020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892504 (or 1892499 counting only the distinct ones).

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

The square root of 340648020 is about 18456.6524592083. The cubic root of 340648020 is about 698.3963425292.

The spelling of 340648020 in words is "three hundred forty million, six hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1892489 3784978 5677467 7569956 9462445 11354934 17032401 18924890 22709868 28387335 34064802 37849780 56774670 68129604 85162005 113549340 170324010 340648020