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230300786304 = 2734198811327
BaseRepresentation
bin1101011001111011111…
…1110001111010000000
3211000110001120010010000
43112132333301322000
512233124000130204
6253444305040000
722432032245601
oct3263677617200
9730401503100
10230300786304
1189740876456
1238773326000
1318942ac8c24
14b20a465da8
155ecd6b5039
hex359eff1e80

230300786304 has 320 divisors, whose sum is σ = 722806761600. Its totient is φ = 72589271040.

The previous prime is 230300786299. The next prime is 230300786321. The reversal of 230300786304 is 403687003032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173549289 + ... + 173550615.

It is an arithmetic number, because the mean of its divisors is an integer number (2258771130).

Almost surely, 2230300786304 is an apocalyptic number.

230300786304 is a gapful number since it is divisible by the number (24) 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 230300786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361403380800).

230300786304 is an abundant number, since it is smaller than the sum of its proper divisors (492505975296).

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

230300786304 is a wasteful number, since it uses less digits than its factorization.

230300786304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 230300786304 its reverse (403687003032), we get a palindrome (633987789336).

The spelling of 230300786304 in words is "two hundred thirty billion, three hundred million, seven hundred eighty-six thousand, three hundred four".