Search a number
-
+
344324440 = 23531713911
BaseRepresentation
bin10100100001011…
…111100101011000
3212222220111100001
4110201133211120
51201121340230
654100022344
711350465225
oct2441374530
9788814301
10344324440
111673a9059
12973919b4
1356449a95
1433a3094c
15203670ca
hex1485f958

344324440 has 64 divisors (see below), whose sum is σ = 811192320. Its totient is φ = 131376000.

The previous prime is 344324419. The next prime is 344324459. The reversal of 344324440 is 44423443.

It is a junction number, because it is equal to n+sod(n) for n = 344324399 and 344324408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86085 + ... + 89995.

It is an arithmetic number, because the mean of its divisors is an integer number (12674880).

Almost surely, 2344324440 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 344324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405596160).

344324440 is an abundant number, since it is smaller than the sum of its proper divisors (466867880).

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

344324440 is a wasteful number, since it uses less digits than its factorization.

344324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 344324440 is about 18555.9812459487. The cubic root of 344324440 is about 700.8998224100.

Adding to 344324440 its reverse (44423443), we get a palindrome (388747883).

The spelling of 344324440 in words is "three hundred forty-four million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 568 620 710 1240 1420 2201 2840 3911 4402 7822 8804 11005 15644 17608 19555 22010 31288 39110 44020 78220 88040 121241 156440 242482 277681 484964 555362 606205 969928 1110724 1212410 1388405 2221448 2424820 2776810 4849640 5553620 8608111 11107240 17216222 34432444 43040555 68864888 86081110 172162220 344324440