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348011828 = 221719318689
BaseRepresentation
bin10100101111100…
…011110100110100
3220020211211110222
4110233203310310
51203042334303
654311033512
711424023513
oct2457436464
9806754428
10348011828
1116949748a
129866b898
135713b278
143431067a
1520844938
hex14be3d34

348011828 has 48 divisors (see below), whose sum is σ = 700761600. Its totient is φ = 150128640.

The previous prime is 348011819. The next prime is 348011831. The reversal of 348011828 is 828110843.

It is a super-2 number, since 2×3480118282 = 242224464855803168, which contains 22 as substring.

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, 35708 + ... + 44396.

It is an arithmetic number, because the mean of its divisors is an integer number (14599200).

Almost surely, 2348011828 is an apocalyptic number.

348011828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

348011828 is an abundant number, since it is smaller than the sum of its proper divisors (352749772).

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

348011828 is a wasteful number, since it uses less digits than its factorization.

348011828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 348011828 is about 18655.0751271604. The cubic root of 348011828 is about 703.3929345108.

The spelling of 348011828 in words is "three hundred forty-eight million, eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 17 19 31 34 38 62 68 76 124 323 527 589 646 1054 1178 1292 2108 2356 8689 10013 17378 20026 34756 40052 147713 165091 269359 295426 330182 538718 590852 660364 1077436 2806547 4579103 5117821 5613094 9158206 10235642 11226188 18316412 20471284 87002957 174005914 348011828