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300034020 = 223511313172
BaseRepresentation
bin10001111000100…
…010011111100100
3202220120022022010
4101320202133210
51103302042040
645434434220
710302150516
oct2170423744
9686508263
10300034020
111443a8000
1284592970
134a210430
142bbc1bb6
151b518e80
hex11e227e4

300034020 has 288 divisors, whose sum is σ = 1057101696. Its totient is φ = 63191040.

The previous prime is 300033989. The next prime is 300034039. The reversal of 300034020 is 20430003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300033987 and 300034005.

It is a congruent number.

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, 17649052 + ... + 17649068.

It is an arithmetic number, because the mean of its divisors is an integer number (3670492).

Almost surely, 2300034020 is an apocalyptic number.

300034020 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 300034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528550848).

300034020 is an abundant number, since it is smaller than the sum of its proper divisors (757067676).

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

300034020 is a wasteful number, since it uses less digits than its factorization.

300034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 300034020 is about 17321.4901206565. The cubic root of 300034020 is about 669.4582536912.

Adding to 300034020 its reverse (20430003), we get a palindrome (320464023).

The spelling of 300034020 in words is "three hundred million, thirty-four thousand, twenty".