Search a number
-
+
344214436 = 221753149641
BaseRepresentation
bin10100100001000…
…100101110100100
3212222200220102211
4110201010232210
51201104330221
654053413204
711346526426
oct2441045644
9788626384
10344214436
11167333445
129733a204
135640b9a7
1433a02816
15203446e1
hex14844ba4

344214436 has 48 divisors (see below), whose sum is σ = 655225200. Its totient is φ = 157614080.

The previous prime is 344214433. The next prime is 344214439. The reversal of 344214436 is 634412443.

It is an interprime number because it is at equal distance from previous prime (344214433) and next prime (344214439).

It can be written as a sum of positive squares in 8 ways, for example, as 25948836 + 318265600 = 5094^2 + 17840^2 .

Its product of digits (27648) is a multiple of the sum of its prime factors (864).

It is a junction number, because it is equal to n+sod(n) for n = 344214398 and 344214407.

It is not an unprimeable number, because it can be changed into a prime (344214433) 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 15 ways as a sum of consecutive naturals, for example, 536676 + ... + 537316.

It is an arithmetic number, because the mean of its divisors is an integer number (13650525).

Almost surely, 2344214436 is an apocalyptic number.

It is an amenable number.

344214436 is a deficient number, since it is larger than the sum of its proper divisors (311010764).

344214436 is a wasteful number, since it uses less digits than its factorization.

344214436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The square root of 344214436 is about 18553.0168975291. The cubic root of 344214436 is about 700.8251738253.

Adding to 344214436 its reverse (634412443), we get a palindrome (978626879).

The spelling of 344214436 in words is "three hundred forty-four million, two hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 4 17 34 53 68 106 149 212 298 596 641 901 1282 1802 2533 2564 3604 5066 7897 10132 10897 15794 21794 31588 33973 43588 67946 95509 134249 135892 191018 268498 382036 536996 577541 1155082 1623653 2310164 3247306 5061977 6494612 10123954 20247908 86053609 172107218 344214436