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348108264 = 233271394969
BaseRepresentation
bin10100101111111…
…011010111101000
3220021000201202200
4110233323113220
51203103431024
654313100200
711424604620
oct2457732750
9807021680
10348108264
11169552989
12986b7660
135717312a
1434337880
15208632c9
hex14bfb5e8

348108264 has 96 divisors (see below), whose sum is σ = 1085448000. Its totient is φ = 98724096.

The previous prime is 348108239. The next prime is 348108301. The reversal of 348108264 is 462801843.

It is a super-3 number, since 3×3481082643 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67572 + ... + 72540.

It is an arithmetic number, because the mean of its divisors is an integer number (11306750).

Almost surely, 2348108264 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 348108264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542724000).

348108264 is an abundant number, since it is smaller than the sum of its proper divisors (737339736).

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

348108264 is a wasteful number, since it uses less digits than its factorization.

348108264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 348108264 is about 18657.6596603111. The cubic root of 348108264 is about 703.4578998663.

The spelling of 348108264 in words is "three hundred forty-eight million, one hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 139 168 252 278 417 504 556 834 973 1112 1251 1668 1946 2502 2919 3336 3892 4969 5004 5838 7784 8757 9938 10008 11676 14907 17514 19876 23352 29814 34783 35028 39752 44721 59628 69566 70056 89442 104349 119256 139132 178884 208698 278264 313047 357768 417396 626094 690691 834792 1252188 1381382 2072073 2504376 2762764 4144146 4834837 5525528 6216219 8288292 9669674 12432438 14504511 16576584 19339348 24864876 29009022 38678696 43513533 49729752 58018044 87027066 116036088 174054132 348108264