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230376380 = 225131934591
BaseRepresentation
bin11011011101101…
…00001110111100
3121001111022222112
431232310032330
5432434021010
634505433152
75465111153
oct1556641674
9531438875
10230376380
11109050203
126519b7b8
13389616b0
142284c59a
1515359a05
hexdbb43bc

230376380 has 48 divisors (see below), whose sum is σ = 523818624. Its totient is φ = 84602880.

The previous prime is 230376373. The next prime is 230376383. The reversal of 230376380 is 83673032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230376383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47885 + ... + 52475.

It is an arithmetic number, because the mean of its divisors is an integer number (10912888).

Almost surely, 2230376380 is an apocalyptic number.

230376380 is a gapful number since it is divisible by the number (20) 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 230376380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261909312).

230376380 is an abundant number, since it is smaller than the sum of its proper divisors (293442244).

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

230376380 is a wasteful number, since it uses less digits than its factorization.

230376380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 230376380 is about 15178.1546968003. The cubic root of 230376380 is about 613.0265958600.

The spelling of 230376380 in words is "two hundred thirty million, three hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 4591 5018 9182 10036 12545 18364 22955 25090 45910 50180 59683 91820 119366 238732 298415 596830 886063 1193660 1772126 3544252 4430315 8860630 11518819 17721260 23037638 46075276 57594095 115188190 230376380