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83330364 = 223133714437
BaseRepresentation
bin1001111011110…
…00010100111100
312210210121202210
410331320110330
5132313032424
612134020420
72031203445
oct475702474
9183717683
1083330364
1143046377
1223aa7710
1314358210
14b0d22cc
1574b0729
hex4f7853c

83330364 has 48 divisors (see below), whose sum is σ = 215068448. Its totient is φ = 24945408.

The previous prime is 83330347. The next prime is 83330461. The reversal of 83330364 is 46303338.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447 + ... + 12990.

Almost surely, 283330364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83330364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107534224).

83330364 is an abundant number, since it is smaller than the sum of its proper divisors (131738084).

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

83330364 is a wasteful number, since it uses less digits than its factorization.

83330364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14492 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 83330364 is about 9128.5466532192. The cubic root of 83330364 is about 436.7850444033.

The spelling of 83330364 in words is "eighty-three million, three hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 14437 28874 43311 57748 86622 173244 187681 375362 534169 563043 750724 1068338 1126086 1602507 2136676 2252172 3205014 6410028 6944197 13888394 20832591 27776788 41665182 83330364