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348223744 = 2811313989
BaseRepresentation
bin10100110000010…
…111100100000000
3220021020121011201
4110300113210000
51203121124434
654315350544
711425565401
oct2460274400
9807217151
10348223744
11169621720
1298752454
13571b386b
14343679a8
1520887614
hex14c17900

348223744 has 72 divisors (see below), whose sum is σ = 782933760. Its totient is φ = 153139200.

The previous prime is 348223721. The next prime is 348223769. The reversal of 348223744 is 447322843.

348223744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85302 + ... + 89290.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2348223744 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 348223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

348223744 is an abundant number, since it is smaller than the sum of its proper divisors (434710016).

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

348223744 is a wasteful number, since it uses less digits than its factorization.

348223744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4033 counting only the distinct ones).

The product of its digits is 129024, while the sum is 37.

The square root of 348223744 is about 18660.7541112357. The cubic root of 348223744 is about 703.5356786739.

Subtracting 348223744 from its reverse (447322843), we obtain a palindrome (99099099).

The spelling of 348223744 in words is "three hundred forty-eight million, two hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 3989 5456 7936 7978 10912 15956 21824 31912 43648 43879 63824 87296 87758 123659 127648 175516 247318 255296 351032 494636 510592 702064 989272 1021184 1360249 1404128 1978544 2720498 2808256 3957088 5440996 5616512 7914176 10881992 11233024 15828352 21763984 31656704 43527968 87055936 174111872 348223744