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3830400 = 273252719
BaseRepresentation
bin1110100111001010000000
321012121022200
432213022000
51440033100
6214033200
744362230
oct16471200
97177280
103830400
112186922
121348800
13a41612
14719cc0
15509e00
hex3a7280

3830400 has 288 divisors, whose sum is σ = 16442400. Its totient is φ = 829440.

The previous prime is 3830377. The next prime is 3830401. The reversal of 3830400 is 40383.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3830401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201591 + ... + 201609.

Almost surely, 23830400 is an apocalyptic number.

3830400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221200).

3830400 is an abundant number, since it is smaller than the sum of its proper divisors (12612000).

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

3830400 is a wasteful number, since it uses less digits than its factorization.

3830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3830400 is about 1957.1407716360. The cubic root of 3830400 is about 156.4641011611.

Adding to 3830400 its reverse (40383), we get a palindrome (3870783).

The spelling of 3830400 in words is "three million, eight hundred thirty thousand, four hundred".