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106416348 = 22312769827
BaseRepresentation
bin1100101011111…
…00100011011100
321102020111210020
412111330203130
5204220310343
614320512140
72431344513
oct625744334
9242214706
10106416348
11550841a5
122b77b650
131907c16c
14101c167a
159520b83
hex657c8dc

106416348 has 24 divisors (see below), whose sum is σ = 250263552. Its totient is φ = 35192304.

The previous prime is 106416293. The next prime is 106416371. The reversal of 106416348 is 843614601.

It is a super-2 number, since 2×1064163482 = 22648878243314208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33390 + ... + 36437.

It is an arithmetic number, because the mean of its divisors is an integer number (10427648).

Almost surely, 2106416348 is an apocalyptic number.

It is an amenable number.

106416348 is an abundant number, since it is smaller than the sum of its proper divisors (143847204).

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

106416348 is a wasteful number, since it uses less digits than its factorization.

106416348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69961 (or 69959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106416348 is about 10315.8299714565. The cubic root of 106416348 is about 473.8811680250.

The spelling of 106416348 in words is "one hundred six million, four hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 69827 139654 209481 279308 418962 837924 8868029 17736058 26604087 35472116 53208174 106416348