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77305345 = 5131189313
BaseRepresentation
bin1001001101110…
…01011000000001
312101110111222221
410212321120001
5124242232340
611400531041
71626041005
oct446713001
9171414887
1077305345
113a700717
1221a80a81
1313028a10
14a3a4705
156bc044a
hex49b9601

77305345 has 8 divisors (see below), whose sum is σ = 99902376. Its totient is φ = 57086976.

The previous prime is 77305339. The next prime is 77305367. The reversal of 77305345 is 54350377.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 63377521 = 3732^2 + 7961^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77305345 - 29 = 77304833 is a prime.

It is a super-2 number, since 2×773053452 = 11952232731138050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77305345.

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 7 ways as a sum of consecutive naturals, for example, 594592 + ... + 594721.

It is an arithmetic number, because the mean of its divisors is an integer number (12487797).

Almost surely, 277305345 is an apocalyptic number.

It is an amenable number.

77305345 is a deficient number, since it is larger than the sum of its proper divisors (22597031).

77305345 is a wasteful number, since it uses less digits than its factorization.

77305345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189331.

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 77305345 is about 8792.3458189496. The cubic root of 77305345 is about 425.9936978797.

The spelling of 77305345 in words is "seventy-seven million, three hundred five thousand, three hundred forty-five".

Divisors: 1 5 13 65 1189313 5946565 15461069 77305345