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83483400 = 2335271113139
BaseRepresentation
bin1001111100111…
…01101100001000
312211002101200210
410332131230020
5132332432100
612141201120
72032411560
oct476355410
9184071623
1083483400
1143140350
1223b601a0
13143aca80
14b131da0
1574e0c50
hex4f9db08

83483400 has 384 divisors, whose sum is σ = 349977600. Its totient is φ = 15897600.

The previous prime is 83483377. The next prime is 83483419. The reversal of 83483400 is 438438.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600531 + ... + 600669.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 283483400 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 83483400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

83483400 is an abundant number, since it is smaller than the sum of its proper divisors (266494200).

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

83483400 is a wasteful number, since it uses less digits than its factorization.

83483400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83483400 is about 9136.9250845128. The cubic root of 83483400 is about 437.0522657579.

It can be divided in two parts, 834 and 83400, that multiplied together give a square (69555600 = 83402).

The spelling of 83483400 in words is "eighty-three million, four hundred eighty-three thousand, four hundred".