Search a number
-
+
340299744 = 253171091913
BaseRepresentation
bin10100010010001…
…000111111100000
3212201100000111020
4110102020333200
51144104042434
653433445440
711301333351
oct2422107740
9781300436
10340299744
111650aa264
1295b70880
135566abc5
14332a3d28
151ed1e849
hex14488fe0

340299744 has 96 divisors (see below), whose sum is σ = 955009440. Its totient is φ = 105725952.

The previous prime is 340299733. The next prime is 340299769. The reversal of 340299744 is 447992043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 340299696 and 340299705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176932 + ... + 178844.

It is an arithmetic number, because the mean of its divisors is an integer number (9948015).

Almost surely, 2340299744 is an apocalyptic number.

340299744 is a gapful number since it is divisible by the number (34) 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 340299744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477504720).

340299744 is an abundant number, since it is smaller than the sum of its proper divisors (614709696).

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

340299744 is a wasteful number, since it uses less digits than its factorization.

340299744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 340299744 is about 18447.2150743683. The cubic root of 340299744 is about 698.1582496286.

The spelling of 340299744 in words is "three hundred forty million, two hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 109 136 204 218 272 327 408 436 544 654 816 872 1308 1632 1744 1853 1913 2616 3488 3706 3826 5232 5559 5739 7412 7652 10464 11118 11478 14824 15304 22236 22956 29648 30608 32521 44472 45912 59296 61216 65042 88944 91824 97563 130084 177888 183648 195126 208517 260168 390252 417034 520336 625551 780504 834068 1040672 1251102 1561008 1668136 2502204 3122016 3336272 3544789 5004408 6672544 7089578 10008816 10634367 14179156 20017632 21268734 28358312 42537468 56716624 85074936 113433248 170149872 340299744