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248880348 = 223223329671
BaseRepresentation
bin11101101010110…
…01110011011100
3122100022102122200
432311121303130
51002203132343
640410211500
76111306453
oct1665316334
9570272580
10248880348
11118539542
126b423b90
133c73cba2
14250a7b9a
1516cb24d3
hexed59cdc

248880348 has 36 divisors (see below), whose sum is σ = 631835568. Its totient is φ = 82601280.

The previous prime is 248880329. The next prime is 248880367. The reversal of 248880348 is 843088842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248880329) and next prime (248880367).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2488803482 = 123882855241202208, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6448 + ... + 23223.

It is an arithmetic number, because the mean of its divisors is an integer number (17550988).

Almost surely, 2248880348 is an apocalyptic number.

It is an amenable number.

248880348 is an abundant number, since it is smaller than the sum of its proper divisors (382955220).

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

248880348 is a wasteful number, since it uses less digits than its factorization.

248880348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29914 (or 29909 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 248880348 is about 15775.9420637881. The cubic root of 248880348 is about 629.0186687277.

The spelling of 248880348 in words is "two hundred forty-eight million, eight hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 29671 59342 89013 118684 178026 267039 356052 534078 1068156 6913343 13826686 20740029 27653372 41480058 62220087 82960116 124440174 248880348