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364114345 = 5721486181
BaseRepresentation
bin10101101100111…
…111000110101001
3221101010220222111
4111230333012221
51221203124340
6100044122321
712010630600
oct2554770651
9841126874
10364114345
11177595551
12a1b363a1
135a58869a
1436502a37
1521e75aea
hex15b3f1a9

364114345 has 12 divisors (see below), whose sum is σ = 508274244. Its totient is φ = 249678240.

The previous prime is 364114327. The next prime is 364114367. The reversal of 364114345 is 543411463.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 284833129 = 8904^2 + 16877^2 .

It is not a de Polignac number, because 364114345 - 217 = 363983273 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742846 + ... + 743335.

It is an arithmetic number, because the mean of its divisors is an integer number (42356187).

Almost surely, 2364114345 is an apocalyptic number.

364114345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

364114345 is a deficient number, since it is larger than the sum of its proper divisors (144159899).

364114345 is a wasteful number, since it uses less digits than its factorization.

364114345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486200 (or 1486193 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 364114345 is about 19081.7804462791. The cubic root of 364114345 is about 714.0784547905.

The spelling of 364114345 in words is "three hundred sixty-four million, one hundred fourteen thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 1486181 7430905 10403267 52016335 72822869 364114345