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1348066818 = 232715496907
BaseRepresentation
bin101000001011001…
…1101111000000010
310110221121220000200
41100112131320002
510230101114233
6341433430030
745256243650
oct12026357002
93427556020
101348066818
11631a4860a
1231756b316
13186397497
14cb073dd0
157d537313
hex5059de02

1348066818 has 48 divisors (see below), whose sum is σ = 3340708800. Its totient is φ = 384857568.

The previous prime is 1348066817. The next prime is 1348066849. The reversal of 1348066818 is 8186608431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1348066817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191721 + ... + 198627.

It is an arithmetic number, because the mean of its divisors is an integer number (69598100).

Almost surely, 21348066818 is an apocalyptic number.

1348066818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1348066818 is an abundant number, since it is smaller than the sum of its proper divisors (1992641982).

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

1348066818 is a wasteful number, since it uses less digits than its factorization.

1348066818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1348066818 is about 36716.0294421932. The cubic root of 1348066818 is about 1104.6816491789.

The spelling of 1348066818 in words is "one billion, three hundred forty-eight million, sixty-six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1549 3098 4647 6907 9294 10843 13814 13941 20721 21686 27882 32529 41442 48349 62163 65058 96698 97587 124326 145047 195174 290094 435141 870282 10698943 21397886 32096829 64193658 74892601 96290487 149785202 192580974 224677803 449355606 674033409 1348066818