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348045786 = 2321112713841
BaseRepresentation
bin10100101111101…
…100000111011010
3220020220120001200
4110233230013122
51203044431121
654311455030
711424224514
oct2457540732
9806816050
10348045786
1116950aa50
1298687476
135715086a
143431cbb4
152084ea26
hex14bec1da

348045786 has 48 divisors (see below), whose sum is σ = 829191168. Its totient is φ = 104630400.

The previous prime is 348045769. The next prime is 348045787. The reversal of 348045786 is 687540843.

It is a super-2 number, since 2×3480457862 = 242271738304715592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348045787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18226 + ... + 32066.

It is an arithmetic number, because the mean of its divisors is an integer number (17274816).

Almost surely, 2348045786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348045786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414595584).

348045786 is an abundant number, since it is smaller than the sum of its proper divisors (481145382).

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

348045786 is a wasteful number, since it uses less digits than its factorization.

348045786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13987 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 348045786 is about 18655.9852594281. The cubic root of 348045786 is about 703.4158121244.

The spelling of 348045786 in words is "three hundred forty-eight million, forty-five thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 4191 8382 12573 13841 25146 27682 41523 83046 124569 152251 249138 304502 456753 913506 1370259 1757807 2740518 3515614 5273421 10546842 15820263 19335877 31640526 38671754 58007631 116015262 174022893 348045786