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840664314 = 232717392467
BaseRepresentation
bin110010000110111…
…000010011111010
32011120212011122100
4302012320103322
53210202224224
6215230204230
726555346240
oct6206702372
92146764570
10840664314
113a15955a6
121b5653676
1310521cc09
147d912790
154dc0aac9
hex321b84fa

840664314 has 48 divisors (see below), whose sum is σ = 2204100288. Its totient is φ = 226060416.

The previous prime is 840664313. The next prime is 840664393. The reversal of 840664314 is 413466048.

840664314 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 643 + 1 + 4 = 666.

840664314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8406643143 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (840664313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194092 + ... + 198375.

It is an arithmetic number, because the mean of its divisors is an integer number (45918756).

Almost surely, 2840664314 is an apocalyptic number.

840664314 is an abundant number, since it is smaller than the sum of its proper divisors (1363435974).

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

840664314 is a wasteful number, since it uses less digits than its factorization.

840664314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392499 (or 392496 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 840664314 is about 28994.2117326890. The cubic root of 840664314 is about 943.7874630743.

The spelling of 840664314 in words is "eight hundred forty million, six hundred sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 392467 784934 1177401 2354802 2747269 3532203 5494538 6671939 7064406 8241807 13343878 16483614 20015817 24725421 40031634 46703573 49450842 60047451 93407146 120094902 140110719 280221438 420332157 840664314