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348033048 = 233117318059
BaseRepresentation
bin10100101111101…
…001000000011000
3220020212220120220
4110233221000120
51203044024143
654311320040
711424142416
oct2457510030
9806786526
10348033048
11169501420
1298680020
1357147b1c
14343182b6
152084ad83
hex14be9018

348033048 has 64 divisors (see below), whose sum is σ = 962236800. Its totient is φ = 104014080.

The previous prime is 348033029. The next prime is 348033053. The reversal of 348033048 is 840330843.

It is a super-2 number, since 2×3480330482 = 242254005000340608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 10243 + ... + 28301.

It is an arithmetic number, because the mean of its divisors is an integer number (15034950).

Almost surely, 2348033048 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 348033048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481118400).

348033048 is an abundant number, since it is smaller than the sum of its proper divisors (614203752).

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

348033048 is a wasteful number, since it uses less digits than its factorization.

348033048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18152 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 348033048 is about 18655.6438645253. The cubic root of 348033048 is about 703.4072306673.

The spelling of 348033048 in words is "three hundred forty-eight million, thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 18059 19272 36118 54177 72236 108354 144472 198649 216708 397298 433416 595947 794596 1191894 1318307 1589192 2383788 2636614 3954921 4767576 5273228 7909842 10546456 14501377 15819684 29002754 31639368 43504131 58005508 87008262 116011016 174016524 348033048