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816395337 = 32160956377
BaseRepresentation
bin110000101010010…
…011010001001001
32002220012011212100
4300222103101021
53132444122322
6213002104013
726142150222
oct6052232111
92086164770
10816395337
1138991999a
121a94ab009
131001a3684
147a5d6249
154ba14dac
hex30a93449

816395337 has 12 divisors (see below), whose sum is σ = 1179991540. Its totient is φ = 543915648.

The previous prime is 816395329. The next prime is 816395339. The reversal of 816395337 is 733593618.

816395337 is a `hidden beast` number, since 8 + 1 + 639 + 5 + 3 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403045776 + 413349561 = 20076^2 + 20331^2 .

It is not a de Polignac number, because 816395337 - 23 = 816395329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816395292 and 816395301.

It is not an unprimeable number, because it can be changed into a prime (816395339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13708 + ... + 42669.

Almost surely, 2816395337 is an apocalyptic number.

It is an amenable number.

816395337 is a deficient number, since it is larger than the sum of its proper divisors (363596203).

816395337 is a wasteful number, since it uses less digits than its factorization.

816395337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57992 (or 57989 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 816395337 is about 28572.6326578424. The cubic root of 816395337 is about 934.6166317985.

The spelling of 816395337 in words is "eight hundred sixteen million, three hundred ninety-five thousand, three hundred thirty-seven".

Divisors: 1 3 9 1609 4827 14481 56377 169131 507393 90710593 272131779 816395337