Search a number
-
+
348353440 = 25519111399
BaseRepresentation
bin10100110000110…
…111001110100000
3220021111012002021
4110300313032200
51203134302230
654322231224
711426645461
oct2460671640
9807435067
10348353440
11169700106
12987b5514
135722a8c6
143439cd68
15208b0c7a
hex14c373a0

348353440 has 48 divisors (see below), whose sum is σ = 827366400. Its totient is φ = 138599680.

The previous prime is 348353431. The next prime is 348353459. The reversal of 348353440 is 44353843.

348353440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 348353396 and 348353405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24861 + ... + 36259.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2348353440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

348353440 is an abundant number, since it is smaller than the sum of its proper divisors (479012960).

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

348353440 is a wasteful number, since it uses less digits than its factorization.

348353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11605 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 348353440 is about 18664.2288884379. The cubic root of 348353440 is about 703.6230118317.

The spelling of 348353440 in words is "three hundred forty-eight million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 7640 11399 15280 22798 30560 45596 56995 91192 113990 182384 227980 364768 455960 911920 1823840 2177209 4354418 8708836 10886045 17417672 21772090 34835344 43544180 69670688 87088360 174176720 348353440