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30355200 = 2832521731
BaseRepresentation
bin111001111001…
…0111100000000
32010010012111200
41303302330000
530232331300
63002341200
7516005061
oct163627400
963105450
1030355200
1116153347
12a1ba800
13639a875
144062568
1529e9200
hex1cf2f00

30355200 has 324 divisors, whose sum is σ = 118617408. Its totient is φ = 7372800.

The previous prime is 30355181. The next prime is 30355201. The reversal of 30355200 is 255303.

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 (30355201) 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, 979185 + ... + 979215.

Almost surely, 230355200 is an apocalyptic number.

30355200 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 30355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59308704).

30355200 is an abundant number, since it is smaller than the sum of its proper divisors (88262208).

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

30355200 is a wasteful number, since it uses less digits than its factorization.

30355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 30355200 is about 5509.5553359595. Note that the first 3 decimals coincide. The cubic root of 30355200 is about 311.9447633970.

The spelling of 30355200 in words is "thirty million, three hundred fifty-five thousand, two hundred".