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272348801 is a prime number
BaseRepresentation
bin10000001110111…
…011011010000001
3200222110202022122
4100032323122001
51024210130201
643005214025
76514632554
oct2016733201
9628422278
10272348801
1112a80875a
1277261315
1344568c4a
142825669b
1518d9ae1b
hex103bb681

272348801 has 2 divisors, whose sum is σ = 272348802. Its totient is φ = 272348800.

The previous prime is 272348761. The next prime is 272348809. The reversal of 272348801 is 108843272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244891201 + 27457600 = 15649^2 + 5240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-272348801 is a prime.

It is a super-2 number, since 2×2723488012 = 148347738812275202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (272348809) 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, 136174400 + 136174401.

It is an arithmetic number, because the mean of its divisors is an integer number (136174401).

Almost surely, 2272348801 is an apocalyptic number.

It is an amenable number.

272348801 is a deficient number, since it is larger than the sum of its proper divisors (1).

272348801 is an equidigital number, since it uses as much as digits as its factorization.

272348801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 272348801 is about 16502.9936981143. The cubic root of 272348801 is about 648.1991977965.

The spelling of 272348801 in words is "two hundred seventy-two million, three hundred forty-eight thousand, eight hundred one".