Search a number
-
+
348226944 = 2731379883
BaseRepresentation
bin10100110000011…
…000010110000000
3220021020202120020
4110300120112000
51203121230234
654315413440
711425610622
oct2460302600
9807222506
10348226944
1116962406a
1298754280
13571b5160
1434368c12
1520888549
hex14c18580

348226944 has 128 divisors (see below), whose sum is σ = 1009881600. Its totient is φ = 105670656.

The previous prime is 348226933. The next prime is 348226973. The reversal of 348226944 is 449622843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 348226896 and 348226905.

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, 393927 + ... + 394809.

It is an arithmetic number, because the mean of its divisors is an integer number (7889700).

Almost surely, 2348226944 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 348226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504940800).

348226944 is an abundant number, since it is smaller than the sum of its proper divisors (661654656).

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

348226944 is a wasteful number, since it uses less digits than its factorization.

348226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 348226944 is about 18660.8398524825. The cubic root of 348226944 is about 703.5378337129.

The spelling of 348226944 in words is "three hundred forty-eight million, two hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 384 416 474 624 632 832 883 948 1027 1248 1264 1664 1766 1896 2054 2496 2528 2649 3081 3532 3792 4108 4992 5056 5298 6162 7064 7584 8216 10112 10596 11479 12324 14128 15168 16432 21192 22958 24648 28256 30336 32864 34437 42384 45916 49296 56512 65728 68874 69757 84768 91832 98592 113024 131456 137748 139514 169536 183664 197184 209271 275496 279028 339072 367328 394368 418542 550992 558056 734656 837084 906841 1101984 1116112 1469312 1674168 1813682 2203968 2232224 2720523 3348336 3627364 4407936 4464448 5441046 6696672 7254728 8928896 10882092 13393344 14509456 21764184 26786688 29018912 43528368 58037824 87056736 116075648 174113472 348226944