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83414367 = 3743887
BaseRepresentation
bin1001111100011…
…00110101011111
312210221220000000
410332030311133
5132323224432
612135505343
72032003401
oct476146537
9183856000
1083414367
11430a34a3
1223b28253
131438751a
14b114b71
1574ca57c
hex4f8cd5f

83414367 has 32 divisors (see below), whose sum is σ = 128156160. Its totient is φ = 54255096.

The previous prime is 83414347. The next prime is 83414413. The reversal of 83414367 is 76341438.

It is not a de Polignac number, because 83414367 - 27 = 83414239 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83414327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93598 + ... + 94484.

It is an arithmetic number, because the mean of its divisors is an integer number (4004880).

Almost surely, 283414367 is an apocalyptic number.

83414367 is a deficient number, since it is larger than the sum of its proper divisors (44741793).

83414367 is an frugal number, since it uses more digits than its factorization.

83414367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 83414367 is about 9133.1466100134. The cubic root of 83414367 is about 436.9317653587.

The spelling of 83414367 in words is "eighty-three million, four hundred fourteen thousand, three hundred sixty-seven".

Divisors: 1 3 9 27 43 81 129 243 387 729 887 1161 2187 2661 3483 7983 10449 23949 31347 38141 71847 94041 114423 215541 343269 646623 1029807 1939869 3089421 9268263 27804789 83414367