Search a number
-
+
344420340 = 2235111730697
BaseRepresentation
bin10100100001110…
…110111111110100
3220000002100212220
4110201312333310
51201132422330
654102042340
711351344635
oct2441667764
9800070786
10344420340
11167464110
12974193b0
1356481624
1433a5788c
1520385710
hex14876ff4

344420340 has 96 divisors (see below), whose sum is σ = 1113969024. Its totient is φ = 78581760.

The previous prime is 344420303. The next prime is 344420359. The reversal of 344420340 is 43024443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344420340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129 + ... + 26568.

It is an arithmetic number, because the mean of its divisors is an integer number (11603844).

Almost surely, 2344420340 is an apocalyptic number.

344420340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556984512).

344420340 is an abundant number, since it is smaller than the sum of its proper divisors (769548684).

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

344420340 is a wasteful number, since it uses less digits than its factorization.

344420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30737 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 344420340 is about 18558.5651385014. The cubic root of 344420340 is about 700.9648870659.

Adding to 344420340 its reverse (43024443), we get a palindrome (387444783).

The spelling of 344420340 in words is "three hundred forty-four million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 30697 61394 92091 122788 153485 184182 306970 337667 368364 460455 521849 613940 675334 920910 1013001 1043698 1350668 1565547 1688335 1841820 2026002 2087396 2609245 3131094 3376670 4052004 5065005 5218490 5740339 6262188 6753340 7827735 10130010 10436980 11480678 15655470 17221017 20260020 22961356 28701695 31310940 34442034 57403390 68884068 86105085 114806780 172210170 344420340