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348505344 = 28321113751
BaseRepresentation
bin10100110001011…
…100010100000000
3220021202220110100
4110301130110000
51203204132334
654325402400
711431150365
oct2461342400
9807686410
10348505344
111697a4250
1298869400
1357281aa5
14343dc46c
15208e0c99
hex14c5c500

348505344 has 108 divisors (see below), whose sum is σ = 1096254432. Its totient is φ = 105600000.

The previous prime is 348505343. The next prime is 348505349. The reversal of 348505344 is 443505843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 348505299 and 348505308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348505343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18469 + ... + 32219.

It is an arithmetic number, because the mean of its divisors is an integer number (10150504).

Almost surely, 2348505344 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 348505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548127216).

348505344 is an abundant number, since it is smaller than the sum of its proper divisors (747749088).

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

348505344 is a wasteful number, since it uses less digits than its factorization.

348505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13784 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 348505344 is about 18668.2978334930. The cubic root of 348505344 is about 703.7252715920.

The spelling of 348505344 in words is "three hundred forty-eight million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 13751 25344 27502 41253 55004 82506 110008 123759 151261 165012 220016 247518 302522 330024 440032 453783 495036 605044 660048 880064 907566 990072 1210088 1320096 1361349 1760128 1815132 1980144 2420176 2640192 2722698 3520256 3630264 3960288 4840352 5280384 5445396 7260528 7920576 9680704 10560768 10890792 14521056 15841152 19361408 21781584 29042112 31682304 38722816 43563168 58084224 87126336 116168448 174252672 348505344