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40346820 = 22325224149
BaseRepresentation
bin1001100111101…
…0010011000100
32210220211102200
42121322103010
540312044240
64000434500
7666641133
oct231722304
983824380
1040346820
1120858188
1211618a30
138488677
14550391a
15381e930
hex267a4c4

40346820 has 36 divisors (see below), whose sum is σ = 122385900. Its totient is φ = 10759104.

The previous prime is 40346819. The next prime is 40346827. The reversal of 40346820 is 2864304.

It can be written as a sum of positive squares in 2 ways, for example, as 28068804 + 12278016 = 5298^2 + 3504^2 .

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

It is a super-2 number, since 2×403468202 = 3255731768224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40346827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111895 + ... + 112254.

Almost surely, 240346820 is an apocalyptic number.

It is an amenable number.

40346820 is an abundant number, since it is smaller than the sum of its proper divisors (82039080).

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

40346820 is a wasteful number, since it uses less digits than its factorization.

40346820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224164 (or 224159 counting only the distinct ones).

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

The square root of 40346820 is about 6351.9146719710. The cubic root of 40346820 is about 342.9807694058.

The spelling of 40346820 in words is "forty million, three hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 224149 448298 672447 896596 1120745 1344894 2017341 2241490 2689788 3362235 4034682 4482980 6724470 8069364 10086705 13448940 20173410 40346820