Search a number
-
+
344071080 = 233252932957
BaseRepresentation
bin10100100000100…
…001101110101000
3212222102121210100
4110200201232220
51201040233310
654050345400
711345361453
oct2440415650
9788377710
10344071080
11167245771
129728b260
135638b672
14339a649a
1520316ec0
hex14821ba8

344071080 has 96 divisors (see below), whose sum is σ = 1156825800. Its totient is φ = 88585728.

The previous prime is 344071069. The next prime is 344071081. The reversal of 344071080 is 80170443.

It can be written as a sum of positive squares in 4 ways, for example, as 337750884 + 6320196 = 18378^2 + 2514^2 .

It is not an unprimeable number, because it can be changed into a prime (344071081) 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 23 ways as a sum of consecutive naturals, for example, 6039 + ... + 26918.

Almost surely, 2344071080 is an apocalyptic number.

344071080 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 344071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578412900).

344071080 is an abundant number, since it is smaller than the sum of its proper divisors (812754720).

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

344071080 is a wasteful number, since it uses less digits than its factorization.

344071080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33003 (or 32996 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 344071080 is about 18549.1530803970. The cubic root of 344071080 is about 700.7278687410.

The spelling of 344071080 in words is "three hundred forty-four million, seventy-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 32957 65914 98871 131828 164785 197742 263656 296613 329570 395484 494355 593226 659140 790968 955753 988710 1186452 1318280 1483065 1911506 1977420 2372904 2867259 2966130 3823012 3954840 4778765 5734518 5932260 7646024 8601777 9557530 11469036 11864520 14336295 17203554 19115060 22938072 28672590 34407108 38230120 43008885 57345180 68814216 86017770 114690360 172035540 344071080