Search a number
-
+
344221540 = 225134572897
BaseRepresentation
bin10100100001000…
…110011101100100
3212222201021011221
4110201012131210
51201110042130
654053510124
711346556225
oct2441063544
9788637157
10344221540
11167338813
1297342344
1356411cb0
1433a0524c
152034687a
hex14846764

344221540 has 48 divisors (see below), whose sum is σ = 780442992. Its totient is φ = 126775296.

The previous prime is 344221531. The next prime is 344221547. The reversal of 344221540 is 45122443.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26811684 + 317409856 = 5178^2 + 17816^2 .

It is not an unprimeable number, because it can be changed into a prime (344221547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117372 + ... + 120268.

It is an arithmetic number, because the mean of its divisors is an integer number (16259229).

Almost surely, 2344221540 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 344221540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390221496).

344221540 is an abundant number, since it is smaller than the sum of its proper divisors (436221452).

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

344221540 is a wasteful number, since it uses less digits than its factorization.

344221540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 344221540 is about 18553.2083478842. The cubic root of 344221540 is about 700.8299950717.

Adding to 344221540 its reverse (45122443), we get a palindrome (389343983).

The spelling of 344221540 in words is "three hundred forty-four million, two hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 457 914 1828 2285 2897 4570 5794 5941 9140 11588 11882 14485 23764 28970 29705 37661 57940 59410 75322 118820 150644 188305 376610 753220 1323929 2647858 5295716 6619645 13239290 17211077 26478580 34422154 68844308 86055385 172110770 344221540