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83366934 = 23722331217
BaseRepresentation
bin1001111100000…
…01010000010110
312210212110221020
410332001100112
5132320220214
612134502010
72031415200
oct476012026
9183773836
1083366934
11430708a2
1223b04906
131436ba61
14b101770
1574bb4a9
hex4f81416

83366934 has 48 divisors (see below), whose sum is σ = 194948208. Its totient is φ = 23697408.

The previous prime is 83366911. The next prime is 83366939. The reversal of 83366934 is 43966338.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83366939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67894 + ... + 69110.

It is an arithmetic number, because the mean of its divisors is an integer number (4061421).

Almost surely, 283366934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83366934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97474104).

83366934 is an abundant number, since it is smaller than the sum of its proper divisors (111581274).

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

83366934 is a wasteful number, since it uses less digits than its factorization.

83366934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1462 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 83366934 is about 9130.5494905838. The cubic root of 83366934 is about 436.8489302517.

The spelling of 83366934 in words is "eighty-three million, three hundred sixty-six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 233 294 466 699 1217 1398 1631 2434 3262 3651 4893 7302 8519 9786 11417 17038 22834 25557 34251 51114 59633 68502 119266 178899 283561 357798 567122 850683 1701366 1984927 3969854 5954781 11909562 13894489 27788978 41683467 83366934