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73638340 = 2253681917
BaseRepresentation
bin1000110001110…
…10000111000100
312010120012210221
410120322013010
5122322411330
611150154124
71552626016
oct430720704
9163505727
1073638340
1138626636
12207b2944
13123438a9
149acc1b6
1566e8b7a
hex463a1c4

73638340 has 12 divisors (see below), whose sum is σ = 154640556. Its totient is φ = 29455328.

The previous prime is 73638311. The next prime is 73638353. The reversal of 73638340 is 4383637.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 21104836 = 7248^2 + 4594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73638296 and 73638305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1840939 + ... + 1840978.

It is an arithmetic number, because the mean of its divisors is an integer number (12886713).

Almost surely, 273638340 is an apocalyptic number.

It is an amenable number.

73638340 is an abundant number, since it is smaller than the sum of its proper divisors (81002216).

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

73638340 is a wasteful number, since it uses less digits than its factorization.

73638340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681926 (or 3681924 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 73638340 is about 8581.2784595304. The cubic root of 73638340 is about 419.1485775089.

The spelling of 73638340 in words is "seventy-three million, six hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3681917 7363834 14727668 18409585 36819170 73638340