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840791664 = 2435297457
BaseRepresentation
bin110010000111010…
…111011001110000
32011121002122100000
4302013113121300
53210220313124
6215233030000
726556416436
oct6207273160
92147078300
10840791664
113a1672249
121b56b5300
13105265b7b
147d946d56
154dc336c9
hex321d7670

840791664 has 120 divisors (see below), whose sum is σ = 2524682160. Its totient is φ = 270563328.

The previous prime is 840791659. The next prime is 840791711. The reversal of 840791664 is 466197048.

840791664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109024 + ... + 116480.

It is an arithmetic number, because the mean of its divisors is an integer number (21039018).

Almost surely, 2840791664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840791664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262341080).

840791664 is an abundant number, since it is smaller than the sum of its proper divisors (1683890496).

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

840791664 is a wasteful number, since it uses less digits than its factorization.

840791664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 840791664 is about 28996.4077775162. The cubic root of 840791664 is about 943.8351179519.

The spelling of 840791664 in words is "eight hundred forty million, seven hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 783 972 1044 1296 1392 1566 1944 2088 2349 3132 3888 4176 4698 6264 7047 7457 9396 12528 14094 14914 18792 22371 28188 29828 37584 44742 56376 59656 67113 89484 112752 119312 134226 178968 201339 216253 268452 357936 402678 432506 536904 604017 648759 805356 865012 1073808 1208034 1297518 1610712 1730024 1812051 1946277 2416068 2595036 3221424 3460048 3624102 3892554 4832136 5190072 5838831 7248204 7785108 9664272 10380144 11677662 14496408 15570216 17516493 23355324 28992816 31140432 35032986 46710648 52549479 70065972 93421296 105098958 140131944 210197916 280263888 420395832 840791664