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816293379 = 311592111987
BaseRepresentation
bin110000101001111…
…010011000000011
32002220000000000010
4300221322120003
53132432342004
6213000000003
726141244036
oct6051723003
92086000003
10816293379
1138985a330
121a9460003
13100169145
147a5ab01d
154b9e4a89
hex30a7a603

816293379 has 32 divisors (see below), whose sum is σ = 1213793280. Its totient is φ = 483789600.

The previous prime is 816293339. The next prime is 816293393. The reversal of 816293379 is 973392618.

It is not a de Polignac number, because 816293379 - 212 = 816289283 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (816293339) 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 31 ways as a sum of consecutive naturals, for example, 409824 + ... + 411810.

It is an arithmetic number, because the mean of its divisors is an integer number (37931040).

Almost surely, 2816293379 is an apocalyptic number.

816293379 is a deficient number, since it is larger than the sum of its proper divisors (397499901).

816293379 is a wasteful number, since it uses less digits than its factorization.

816293379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its digits is 489888, while the sum is 48.

The square root of 816293379 is about 28570.8484123241. The cubic root of 816293379 is about 934.5777227041.

The spelling of 816293379 in words is "eight hundred sixteen million, two hundred ninety-three thousand, three hundred seventy-nine".

Divisors: 1 3 11 33 59 177 211 633 649 1947 1987 2321 5961 6963 12449 21857 37347 65571 117233 136939 351699 410817 419257 1257771 1289563 3868689 4611827 13835481 24736163 74208489 272097793 816293379