Search a number
-
+
714387744 = 253271093251
BaseRepresentation
bin101010100101001…
…011000100100000
31211210020122202100
4222211023010200
52430340401434
6154515450400
723463124050
oct5245130440
91753218670
10714387744
113372870a4
1217b2b6a00
13b5009155
146ac41560
1542ab5699
hex2a94b120

714387744 has 144 divisors (see below), whose sum is σ = 2343781440. Its totient is φ = 202176000.

The previous prime is 714387727. The next prime is 714387799. The reversal of 714387744 is 447783417.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 714387744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218119 + ... + 221369.

It is an arithmetic number, because the mean of its divisors is an integer number (16276260).

Almost surely, 2714387744 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 714387744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171890720).

714387744 is an abundant number, since it is smaller than the sum of its proper divisors (1629393696).

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

714387744 is a wasteful number, since it uses less digits than its factorization.

714387744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3372 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 714387744 is about 26728.0329242539. The cubic root of 714387744 is about 893.9460952739.

The spelling of 714387744 in words is "seven hundred fourteen million, three hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2616 3052 3251 3488 3924 4578 5232 6104 6502 6867 7848 9156 9753 10464 12208 13004 13734 15696 18312 19506 22757 24416 26008 27468 29259 31392 36624 39012 45514 52016 54936 58518 68271 73248 78024 91028 104032 109872 117036 136542 156048 182056 204813 219744 234072 273084 312096 354359 364112 409626 468144 546168 708718 728224 819252 936288 1063077 1092336 1417436 1638504 2126154 2184672 2480513 2834872 3189231 3277008 4252308 4961026 5669744 6378462 6554016 7441539 8504616 9922052 11339488 12756924 14883078 17009232 19844104 22324617 25513848 29766156 34018464 39688208 44649234 51027696 59532312 79376416 89298468 102055392 119064624 178596936 238129248 357193872 714387744