Search a number
-
+
321422244 = 2231113792371
BaseRepresentation
bin10011001010001…
…000001110100100
3211101210221102120
4103022020032210
51124241002434
651521105540
710652021043
oct2312101644
9741727376
10321422244
11155486320
128b7882b0
135178b6a0
143098c55a
151d341349
hex132883a4

321422244 has 96 divisors (see below), whose sum is σ = 892631040. Its totient is φ = 88732800.

The previous prime is 321422243. The next prime is 321422251. The reversal of 321422244 is 442224123.

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

It is not an unprimeable number, because it can be changed into a prime (321422243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 134379 + ... + 136749.

It is an arithmetic number, because the mean of its divisors is an integer number (9298240).

Almost surely, 2321422244 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 321422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446315520).

321422244 is an abundant number, since it is smaller than the sum of its proper divisors (571208796).

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

321422244 is a wasteful number, since it uses less digits than its factorization.

321422244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2479 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 321422244 is about 17928.2526755956. The cubic root of 321422244 is about 685.0022157031.

Adding to 321422244 its reverse (442224123), we get a palindrome (763646367).

The spelling of 321422244 in words is "three hundred twenty-one million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1027 1716 1738 2054 2371 2607 3081 3476 4108 4742 5214 6162 7113 9484 10428 11297 12324 14226 22594 26081 28452 30823 33891 45188 52162 61646 67782 78243 92469 104324 123292 135564 156486 184938 187309 312972 339053 369876 374618 561927 678106 749236 1017159 1123854 1356212 2034318 2060399 2247708 2435017 4068636 4120798 4870034 6181197 7305051 8241596 9740068 12362394 14610102 24724788 26785187 29220204 53570374 80355561 107140748 160711122 321422244