Search a number
-
+
84340368 = 24327211953
BaseRepresentation
bin1010000011011…
…10111010010000
312212200221020100
411001232322100
5133042342433
612211412400
72042611200
oct501567220
9185627210
1084340368
1143676192
12242b4100
131461cb58
14b2b6400
15760eb13
hex506ee90

84340368 has 90 divisors (see below), whose sum is σ = 274595334. Its totient is φ = 24095232.

The previous prime is 84340363. The next prime is 84340391. The reversal of 84340368 is 86304348.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 2039184 = 9072^2 + 1428^2 .

It is a super-2 number, since 2×843403682 = 14226595348750848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84340363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1080 + ... + 13032.

Almost surely, 284340368 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 84340368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137297667).

84340368 is an abundant number, since it is smaller than the sum of its proper divisors (190254966).

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

84340368 is a wasteful number, since it uses less digits than its factorization.

84340368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11965 counting only the distinct ones).

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

The square root of 84340368 is about 9183.7012146520. The cubic root of 84340368 is about 438.5426438784.

The spelling of 84340368 in words is "eighty-four million, three hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 11953 23906 35859 47812 71718 83671 95624 107577 143436 167342 191248 215154 251013 286872 334684 430308 502026 573744 585697 669368 753039 860616 1004052 1171394 1338736 1506078 1721232 1757091 2008104 2342788 3012156 3514182 4016208 4685576 5271273 6024312 7028364 9371152 10542546 12048624 14056728 21085092 28113456 42170184 84340368