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83406834 = 235724517
BaseRepresentation
bin1001111100010…
…10111111110010
312210221111200000
410332022333302
5132323004314
612135410430
72031642420
oct476127762
9183844600
1083406834
1143098875
1223b23a16
1314383c74
14b112110
1574c8209
hex4f8aff2

83406834 has 48 divisors (see below), whose sum is σ = 214189248. Its totient is φ = 23829552.

The previous prime is 83406749. The next prime is 83406839. The reversal of 83406834 is 43860438.

It is not an unprimeable number, because it can be changed into a prime (83406839) 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 23 ways as a sum of consecutive naturals, for example, 8857 + ... + 15660.

It is an arithmetic number, because the mean of its divisors is an integer number (4462276).

Almost surely, 283406834 is an apocalyptic number.

83406834 is an abundant number, since it is smaller than the sum of its proper divisors (130782414).

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

83406834 is a wasteful number, since it uses less digits than its factorization.

83406834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24541 (or 24529 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83406834 is about 9132.7342017602. The cubic root of 83406834 is about 436.9186121246.

The spelling of 83406834 in words is "eighty-three million, four hundred six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 24517 49034 73551 147102 171619 220653 343238 441306 514857 661959 1029714 1323918 1544571 1985877 3089142 3971754 4633713 5957631 9267426 11915262 13901139 27802278 41703417 83406834