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814076340 = 2235711176207
BaseRepresentation
bin110000100001011…
…101000110110100
32002201211100210120
4300201131012310
53131400420330
6212440251540
726113351260
oct6041350664
92081740716
10814076340
11388585670
121a8770bb0
13cc870c9c
147a1910a0
154b707c10
hex3085d1b4

814076340 has 96 divisors (see below), whose sum is σ = 2841882624. Its totient is φ = 169157760.

The previous prime is 814076339. The next prime is 814076377. The reversal of 814076340 is 43670418.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 83484 + ... + 92723.

It is an arithmetic number, because the mean of its divisors is an integer number (29602944).

Almost surely, 2814076340 is an apocalyptic number.

It is an amenable number.

814076340 is an abundant number, since it is smaller than the sum of its proper divisors (2027806284).

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

814076340 is a wasteful number, since it uses less digits than its factorization.

814076340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176237 (or 176235 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 814076340 is about 28532.0230618160. The cubic root of 814076340 is about 933.7308564575.

The spelling of 814076340 in words is "eight hundred fourteen million, seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 176207 352414 528621 704828 881035 1057242 1233449 1762070 1938277 2114484 2466898 2643105 3524140 3700347 3876554 4933796 5286210 5814831 6167245 7400694 7753108 9691385 10572420 11629662 12334490 13567939 14801388 18501735 19382770 23259324 24668980 27135878 29074155 37003470 38765540 40703817 54271756 58148310 67839695 74006940 81407634 116296620 135679390 162815268 203519085 271358780 407038170 814076340