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83442345 = 35721071061
BaseRepresentation
bin1001111100100…
…11101010101001
312211000022101020
410332103222221
5132330123340
612140243053
72032151100
oct476235251
9184008336
1083442345
1143112518
1223b40489
131439718c
14b121037
1574d39d0
hex4f93aa9

83442345 has 48 divisors (see below), whose sum is σ = 156904128. Its totient is φ = 37752960.

The previous prime is 83442313. The next prime is 83442353. The reversal of 83442345 is 54324438.

It is not a de Polignac number, because 83442345 - 25 = 83442313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78115 + ... + 79175.

It is an arithmetic number, because the mean of its divisors is an integer number (3268836).

Almost surely, 283442345 is an apocalyptic number.

It is an amenable number.

83442345 is a deficient number, since it is larger than the sum of its proper divisors (73461783).

83442345 is a wasteful number, since it uses less digits than its factorization.

83442345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1183 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 83442345 is about 9134.6781552499. The cubic root of 83442345 is about 436.9806103035.

The spelling of 83442345 in words is "eighty-three million, four hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 107 147 245 321 535 735 749 1061 1605 2247 3183 3745 5243 5305 7427 11235 15729 15915 22281 26215 37135 51989 78645 111405 113527 155967 259945 340581 567635 779835 794689 1702905 2384067 3973445 5562823 11920335 16688469 27814115 83442345