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364000065 = 351121315427
BaseRepresentation
bin10101101100100…
…011001101000001
3221100221010012220
4111230203031001
51221141000230
6100041441253
712006643452
oct2554431501
9840833186
10364000065
11177517700
12a1aa0229
135a548670
14364b3129
1521e51d10
hex15b23341

364000065 has 48 divisors (see below), whose sum is σ = 689446464. Its totient is φ = 162898560.

The previous prime is 364000051. The next prime is 364000067. The reversal of 364000065 is 560000463.

364000065 = 3262 + 3272 + ... + 10402.

It is not a de Polignac number, because 364000065 - 25 = 364000033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 363999999 and 364000044.

It is not an unprimeable number, because it can be changed into a prime (364000067) by changing a digit.

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, 15882 + ... + 31308.

It is an arithmetic number, because the mean of its divisors is an integer number (14363468).

Almost surely, 2364000065 is an apocalyptic number.

It is an amenable number.

364000065 is a deficient number, since it is larger than the sum of its proper divisors (325446399).

364000065 is a wasteful number, since it uses less digits than its factorization.

364000065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15470 (or 15459 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 364000065 is about 19078.7857318017. The cubic root of 364000065 is about 714.0037406924.

The spelling of 364000065 in words is "three hundred sixty-four million, sixty-five", and thus it is an aban number.

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 195 363 429 605 715 1573 1815 2145 4719 7865 15427 23595 46281 77135 169697 200551 231405 509091 601653 848485 1002755 1866667 2206061 2545455 3008265 5600001 6618183 9333335 11030305 24266671 28000005 33090915 72800013 121333355 364000065