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364393341 = 32133114473
BaseRepresentation
bin10101101110000…
…011001101111101
3221101200002200200
4111232003031331
51221241041331
6100054114113
712013202154
oct2556031575
9841602620
10364393341
11177766124
12a204b939
135a655680
143657659b
1521ecd5e6
hex15b8337d

364393341 has 12 divisors (see below), whose sum is σ = 566834268. Its totient is φ = 224241984.

The previous prime is 364393331. The next prime is 364393411. The reversal of 364393341 is 143393463.

364393341 is a `hidden beast` number, since 3 + 643 + 9 + 3 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71470116 + 292923225 = 8454^2 + 17115^2 .

It is not a de Polignac number, because 364393341 - 26 = 364393277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 364393296 and 364393305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364393331) by changing a digit.

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, 1557120 + ... + 1557353.

It is an arithmetic number, because the mean of its divisors is an integer number (47236189).

Almost surely, 2364393341 is an apocalyptic number.

It is an amenable number.

364393341 is a deficient number, since it is larger than the sum of its proper divisors (202440927).

364393341 is a wasteful number, since it uses less digits than its factorization.

364393341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114492 (or 3114489 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 364393341 is about 19089.0895801764. The cubic root of 364393341 is about 714.2607914409.

The spelling of 364393341 in words is "three hundred sixty-four million, three hundred ninety-three thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 3114473 9343419 28030257 40488149 121464447 364393341