Search a number
-
+
344039850 = 232527119929
BaseRepresentation
bin10100100000011…
…010000110101010
3212222101000221200
4110200122012222
51201033233400
654045545030
711345201430
oct2440320652
9788330850
10344039850
11167224260
1297275176
135637a39b
1433998d50
152030cb00
hex1481a1aa

344039850 has 144 divisors (see below), whose sum is σ = 1152515520. Its totient is φ = 71481600.

The previous prime is 344039833. The next prime is 344039851. The reversal of 344039850 is 58930443.

It is not an unprimeable number, because it can be changed into a prime (344039851) 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 71 ways as a sum of consecutive naturals, for example, 29686 + ... + 39614.

It is an arithmetic number, because the mean of its divisors is an integer number (8003580).

Almost surely, 2344039850 is an apocalyptic number.

344039850 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 344039850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576257760).

344039850 is an abundant number, since it is smaller than the sum of its proper divisors (808475670).

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

344039850 is a wasteful number, since it uses less digits than its factorization.

344039850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 344039850 is about 18548.3112438842. The cubic root of 344039850 is about 700.7066673142.

It can be divided in two parts, 34403 and 9850, that added together give a triangular number (44253 = T297).

The spelling of 344039850 in words is "three hundred forty-four million, thirty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 9929 11550 17325 19858 29787 34650 49645 59574 69503 89361 99290 109219 139006 148935 178722 208509 218438 248225 297870 327657 347515 417018 446805 496450 546095 625527 655314 695030 744675 764533 893610 982971 1042545 1092190 1251054 1489350 1529066 1638285 1737575 1965942 2085090 2234025 2293599 2730475 3127635 3276570 3475150 3822665 4468050 4587198 4914855 5212725 5460950 6255270 6880797 7645330 8191425 9829710 10425450 11467995 13761594 15638175 16382850 19113325 22935990 24574275 31276350 34403985 38226650 49148550 57339975 68807970 114679950 172019925 344039850