Search a number
-
+
344244330 = 23451133761
BaseRepresentation
bin10100100001001…
…100000001101010
3212222202102110000
4110201030001222
51201111304310
654054203430
711350012533
oct2441140152
9788672400
10344244330
11167353951
1297353576
135641c491
1433a0d68a
152034d4c0
hex1484c06a

344244330 has 80 divisors (see below), whose sum is σ = 934074504. Its totient is φ = 90961920.

The previous prime is 344244293. The next prime is 344244331. The reversal of 344244330 is 33442443.

It can be written as a sum of positive squares in 4 ways, for example, as 161264601 + 182979729 = 12699^2 + 13527^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 344244294 and 344244303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344244331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89650 + ... + 93410.

Almost surely, 2344244330 is an apocalyptic number.

344244330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344244330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467037252).

344244330 is an abundant number, since it is smaller than the sum of its proper divisors (589830174).

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

344244330 is a wasteful number, since it uses less digits than its factorization.

344244330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 344244330 is about 18553.8225172065. The cubic root of 344244330 is about 700.8454614320.

Adding to 344244330 its reverse (33442443), we get a palindrome (377686773).

The spelling of 344244330 in words is "three hundred forty-four million, two hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 270 339 405 565 678 810 1017 1130 1695 2034 3051 3390 3761 5085 6102 7522 9153 10170 11283 15255 18306 18805 22566 30510 33849 37610 45765 56415 67698 91530 101547 112830 169245 203094 304641 338490 424993 507735 609282 849986 1015470 1274979 1523205 2124965 2549958 3046410 3824937 4249930 6374895 7649874 11474811 12749790 19124685 22949622 34424433 38249370 57374055 68848866 114748110 172122165 344244330