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30841200 = 24325213659
BaseRepresentation
bin111010110100…
…1100101110000
32011000220011200
41311221211300
530343404300
63021011200
7523101015
oct165514560
964026150
1030841200
11164554a5
12a3b3b00
13650ab40
14414b70c
152a93200
hex1d69970

30841200 has 180 divisors, whose sum is σ = 115435320. Its totient is φ = 7580160.

The previous prime is 30841189. The next prime is 30841201. The reversal of 30841200 is 214803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30841201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46471 + ... + 47129.

Almost surely, 230841200 is an apocalyptic number.

30841200 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 30841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57717660).

30841200 is an abundant number, since it is smaller than the sum of its proper divisors (84594120).

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

30841200 is a wasteful number, since it uses less digits than its factorization.

30841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30841200 is about 5553.4853920759. The cubic root of 30841200 is about 313.6007475166.

The spelling of 30841200 in words is "thirty million, eight hundred forty-one thousand, two hundred".