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764248345 = 57217281653
BaseRepresentation
bin101101100011011…
…000000100011001
31222021001211122021
4231203120010121
53031121421340
6203500254441
724640001200
oct5543300431
91867054567
10764248345
11362442103
12193b41421
13c2445c73
1473700237
1547163e4a
hex2d8d8119

764248345 has 48 divisors (see below), whose sum is σ = 1135338768. Its totient is φ = 490721280.

The previous prime is 764248333. The next prime is 764248351. The reversal of 764248345 is 543842467.

It can be written as a sum of positive squares in 8 ways, for example, as 499849 + 763748496 = 707^2 + 27636^2 .

It is a de Polignac number, because none of the positive numbers 2k-764248345 is a prime.

It is a Duffinian number.

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, 1170039 + ... + 1170691.

It is an arithmetic number, because the mean of its divisors is an integer number (23652891).

Almost surely, 2764248345 is an apocalyptic number.

It is an amenable number.

764248345 is a deficient number, since it is larger than the sum of its proper divisors (371090423).

764248345 is a wasteful number, since it uses less digits than its factorization.

764248345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its digits is 645120, while the sum is 43.

The square root of 764248345 is about 27645.0419605397. The cubic root of 764248345 is about 914.2777881742.

The spelling of 764248345 in words is "seven hundred sixty-four million, two hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 5 7 17 35 49 85 119 245 281 595 653 833 1405 1967 3265 4165 4571 4777 9835 11101 13769 22855 23885 31997 33439 55505 68845 77707 159985 167195 183493 234073 388535 543949 917465 1170365 1284451 2719745 3119381 6422255 8991157 15596905 21835667 44955785 109178335 152849669 764248345