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80295345 = 32513294733
BaseRepresentation
bin1001100100100…
…11010110110001
312121002102111200
410302103112301
5131023422340
611545001413
71663333134
oct462232661
9177072450
1080295345
1141363099
1222a83269
1313834950
14a94221b
1570b1330
hex4c935b1

80295345 has 48 divisors (see below), whose sum is σ = 155085840. Its totient is φ = 38158848.

The previous prime is 80295331. The next prime is 80295353. The reversal of 80295345 is 54359208.

It can be written as a sum of positive squares in 8 ways, for example, as 13905441 + 66389904 = 3729^2 + 8148^2 .

It is not a de Polignac number, because 80295345 - 24 = 80295329 is a prime.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 14599 + ... + 19331.

It is an arithmetic number, because the mean of its divisors is an integer number (3230955).

Almost surely, 280295345 is an apocalyptic number.

It is an amenable number.

80295345 is a deficient number, since it is larger than the sum of its proper divisors (74790495).

80295345 is a wasteful number, since it uses less digits than its factorization.

80295345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 80295345 is about 8960.7669872617. The cubic root of 80295345 is about 431.4165380733.

The spelling of 80295345 in words is "eighty million, two hundred ninety-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 4733 5655 14199 16965 23665 42597 61529 70995 137257 184587 212985 307645 411771 553761 686285 922935 1235313 1784341 2058855 2768805 5353023 6176565 8921705 16059069 26765115 80295345