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348090940 = 225311932909
BaseRepresentation
bin10100101111110…
…111001000111100
3220020222212000001
4110233313020330
51203102402230
654312444044
711424503251
oct2457671074
9806885001
10348090940
1116954096a
12986a9624
1357168292
1434331428
152085d0ca
hex14bf723c

348090940 has 48 divisors (see below), whose sum is σ = 758741760. Its totient is φ = 134000640.

The previous prime is 348090907. The next prime is 348090983. The reversal of 348090940 is 49090843.

It is a self number, because there is not a number n which added to its sum of digits gives 348090940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118206 + ... + 121114.

It is an arithmetic number, because the mean of its divisors is an integer number (15807120).

Almost surely, 2348090940 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 348090940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379370880).

348090940 is an abundant number, since it is smaller than the sum of its proper divisors (410650820).

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

348090940 is a wasteful number, since it uses less digits than its factorization.

348090940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 348090940 is about 18657.1953948068. The cubic root of 348090940 is about 703.4462302144.

It can be divided in two parts, 348090 and 940, that added together give a triangular number (349030 = T835).

The spelling of 348090940 in words is "three hundred forty-eight million, ninety thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1930 2909 3860 5818 5983 11636 11966 14545 23932 29090 29915 58180 59830 90179 119660 180358 360716 450895 561437 901790 1122874 1803580 2245748 2807185 5614370 11228740 17404547 34809094 69618188 87022735 174045470 348090940