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396380565 = 325719103643
BaseRepresentation
bin10111101000000…
…100100110010101
31000121212012220200
4113220010212111
51302433134230
6103155451113
712552115320
oct2750044625
91017765820
10396380565
11193823649
12b08b6a99
1364175019
143a9017b7
1524beb160
hex17a04995

396380565 has 96 divisors (see below), whose sum is σ = 835860480. Its totient is φ = 169734528.

The previous prime is 396380557. The next prime is 396380573. The reversal of 396380565 is 565083693.

396380565 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 80 + 565 = 666.

It is an interprime number because it is at equal distance from previous prime (396380557) and next prime (396380573).

It is not a de Polignac number, because 396380565 - 23 = 396380557 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 396380565.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 616134 + ... + 616776.

It is an arithmetic number, because the mean of its divisors is an integer number (8706880).

Almost surely, 2396380565 is an apocalyptic number.

396380565 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

396380565 is an abundant number, since it is smaller than the sum of its proper divisors (439479915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

396380565 is a wasteful number, since it uses less digits than its factorization.

396380565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 396380565 is about 19909.3085013016. The cubic root of 396380565 is about 734.5772106869.

The spelling of 396380565 in words is "three hundred ninety-six million, three hundred eighty thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 103 105 133 171 285 309 315 399 515 643 665 721 855 927 1197 1545 1929 1957 1995 2163 3215 3605 4501 4635 5787 5871 5985 6489 9645 9785 10815 12217 13503 13699 17613 22505 28935 29355 32445 36651 40509 41097 61085 66229 67515 68495 85519 88065 109953 123291 183255 198687 202545 205485 256557 331145 427595 463603 549765 596061 616455 769671 993435 1258351 1282785 1390809 2318015 2980305 3775053 3848355 4172427 6291755 6954045 8808457 11325159 18875265 20862135 26425371 44042285 56625795 79276113 132126855 396380565