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73838341 is a prime number
BaseRepresentation
bin1000110011010…
…10111100000101
312010221101011101
410121222330011
5122400311331
611154340101
71554421063
oct431527405
9163841141
1073838341
1138752925
122088a631
13123b3935
149b41033
156738061
hex466af05

73838341 has 2 divisors, whose sum is σ = 73838342. Its totient is φ = 73838340.

The previous prime is 73838339. The next prime is 73838357. The reversal of 73838341 is 14383837.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68409441 + 5428900 = 8271^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 73838341 - 21 = 73838339 is a prime.

Together with 73838339, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 73838341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73838371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36919170 + 36919171.

It is an arithmetic number, because the mean of its divisors is an integer number (36919171).

Almost surely, 273838341 is an apocalyptic number.

It is an amenable number.

73838341 is a deficient number, since it is larger than the sum of its proper divisors (1).

73838341 is an equidigital number, since it uses as much as digits as its factorization.

73838341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 73838341 is about 8592.9238912026. The cubic root of 73838341 is about 419.5277022738.

The spelling of 73838341 in words is "seventy-three million, eight hundred thirty-eight thousand, three hundred forty-one".