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9780234300 = 22335217415197
BaseRepresentation
bin10010001101111001…
…01000100000111100
3221020121020101021000
421012330220200330
5130012214444200
64254252210300
7464235422424
oct110674504074
927217211230
109780234300
114169761871
121a8b469990
13bcb3025b5
1468acb7484
153c394c300
hex246f2883c

9780234300 has 288 divisors, whose sum is σ = 34109691840. Its totient is φ = 2394316800.

The previous prime is 9780234251. The next prime is 9780234307. The reversal of 9780234300 is 34320879.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9780234307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1879302 + ... + 1884498.

It is an arithmetic number, because the mean of its divisors is an integer number (118436430).

Almost surely, 29780234300 is an apocalyptic number.

9780234300 is a gapful number since it is divisible by the number (90) 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 9780234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054845920).

9780234300 is an abundant number, since it is smaller than the sum of its proper divisors (24329457540).

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

9780234300 is a wasteful number, since it uses less digits than its factorization.

9780234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9780234300 is about 98895.0671166161. The cubic root of 9780234300 is about 2138.5352818062.

The spelling of 9780234300 in words is "nine billion, seven hundred eighty million, two hundred thirty-four thousand, three hundred".