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816563342 = 27219232829
BaseRepresentation
bin110000101010111…
…100010010001110
32002220111201022202
4300222330102032
53133020011332
6213005441502
726143450100
oct6052742216
92086451282
10816563342
11389a24141
121a9570292
13100231c9a
147a63b570
154ba49a62
hex30abc48e

816563342 has 72 divisors (see below), whose sum is σ = 1569745800. Its totient is φ = 316739808.

The previous prime is 816563311. The next prime is 816563347. The reversal of 816563342 is 243365618.

It is a super-3 number, since 3×8165633423 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 816563296 and 816563305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816563347) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 984584 + ... + 985412.

It is an arithmetic number, because the mean of its divisors is an integer number (21802025).

Almost surely, 2816563342 is an apocalyptic number.

816563342 is a deficient number, since it is larger than the sum of its proper divisors (753182458).

816563342 is a wasteful number, since it uses less digits than its factorization.

816563342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 880 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 816563342 is about 28575.5724702061. The cubic root of 816563342 is about 934.6807386066.

The spelling of 816563342 in words is "eight hundred sixteen million, five hundred sixty-three thousand, three hundred forty-two".

Divisors: 1 2 7 14 19 23 38 46 49 98 133 161 266 322 437 529 829 874 931 1058 1127 1658 1862 2254 3059 3703 5803 6118 7406 10051 11606 15751 19067 20102 21413 25921 31502 38134 40621 42826 51842 70357 81242 110257 133469 140714 220514 266938 362273 438541 492499 724546 771799 877082 934283 984998 1543598 1868566 2535911 3069787 5071822 6139574 8332279 16664558 17751377 21488509 35502754 42977018 58325953 116651906 408281671 816563342