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248320348 = 22192383449
BaseRepresentation
bin11101100110100…
…01000101011100
3122022020222110221
432303101011130
51002032222343
640350211124
76103455013
oct1663210534
9568228427
10248320348
11118196831
126b1b3aa4
133c5a5023
1424d9da7a
1516c015ed
hexecd115c

248320348 has 36 divisors (see below), whose sum is σ = 460857600. Its totient is φ = 117057024.

The previous prime is 248320337. The next prime is 248320349. The reversal of 248320348 is 843023842.

248320348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2483203483 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248320349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552828 + ... + 553276.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2248320348 is an apocalyptic number.

It is an amenable number.

248320348 is a deficient number, since it is larger than the sum of its proper divisors (212537252).

248320348 is a wasteful number, since it uses less digits than its factorization.

248320348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 248320348 is about 15758.1835247594. The cubic root of 248320348 is about 628.5465342463.

The spelling of 248320348 in words is "two hundred forty-eight million, three hundred twenty thousand, three hundred forty-eight".

Divisors: 1 2 4 19 38 76 361 383 449 722 766 898 1444 1532 1796 7277 8531 14554 17062 29108 34124 138263 162089 171967 276526 324178 343934 553052 648356 687868 3267373 6534746 13069492 62080087 124160174 248320348