Search a number
-
+
440442324 = 2232717102811
BaseRepresentation
bin11010010000001…
…001110111010100
31010200202210021200
4122100021313110
51400223123244
6111412112500
713625461260
oct3220116724
91120683250
10440442324
11206688923
12103605730
137033157a
14426d10a0
1528a01669
hex1a409dd4

440442324 has 72 divisors (see below), whose sum is σ = 1347248448. Its totient is φ = 118437120.

The previous prime is 440442319. The next prime is 440442329. The reversal of 440442324 is 423244044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440442319) and next prime (440442329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440442329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47122 + ... + 55689.

It is an arithmetic number, because the mean of its divisors is an integer number (18711784).

Almost surely, 2440442324 is an apocalyptic number.

It is an amenable number.

440442324 is an abundant number, since it is smaller than the sum of its proper divisors (906806124).

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

440442324 is a wasteful number, since it uses less digits than its factorization.

440442324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102845 (or 102840 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 440442324 is about 20986.7177995989. The cubic root of 440442324 is about 760.8452760591.

Adding to 440442324 its reverse (423244044), we get a palindrome (863686368).

The spelling of 440442324 in words is "four hundred forty million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 102811 205622 308433 411244 616866 719677 925299 1233732 1439354 1747787 1850598 2159031 2878708 3495574 3701196 4318062 5243361 6477093 6991148 8636124 10486722 12234509 12954186 15730083 20973444 24469018 25908372 31460166 36703527 48938036 62920332 73407054 110110581 146814108 220221162 440442324