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248353364 = 22721267109
BaseRepresentation
bin11101100110110…
…01001001010100
3122022022122202202
432303121021110
51002034301424
640351024032
76103653200
oct1663311124
9568278682
10248353364
11118209616
126b20b018
133c5b706c
1424dabb00
1516c0b2ae
hexecd9254

248353364 has 18 divisors (see below), whose sum is σ = 505576890. Its totient is φ = 106437072.

The previous prime is 248353363. The next prime is 248353381. The reversal of 248353364 is 463353842.

It is a happy number.

248353364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199939600 + 48413764 = 14140^2 + 6958^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248353363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633359 + ... + 633750.

It is an arithmetic number, because the mean of its divisors is an integer number (28087605).

Almost surely, 2248353364 is an apocalyptic number.

It is an amenable number.

248353364 is an abundant number, since it is smaller than the sum of its proper divisors (257223526).

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

248353364 is a wasteful number, since it uses less digits than its factorization.

248353364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267127 (or 1267118 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 248353364 is about 15759.2310726126. The cubic root of 248353364 is about 628.5743896260.

The spelling of 248353364 in words is "two hundred forty-eight million, three hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 1267109 2534218 5068436 8869763 17739526 35479052 62088341 124176682 248353364