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230430376 = 2311172337181
BaseRepresentation
bin11011011110000…
…01011010101000
3121001121002001101
431233001122220
5432442233001
634510531144
75465424451
oct1557013250
9531532041
10230430376
11109087830
1265206ab4
1338980147
1422864128
151536aa01
hexdbc16a8

230430376 has 128 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 91238400.

The previous prime is 230430311. The next prime is 230430407. The reversal of 230430376 is 673034032.

230430376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273006 + ... + 1273186.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2230430376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230430376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

230430376 is an abundant number, since it is smaller than the sum of its proper divisors (307357784).

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

230430376 is a wasteful number, since it uses less digits than its factorization.

230430376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 230430376 is about 15179.9333331869. The cubic root of 230430376 is about 613.0744861839.

The spelling of 230430376 in words is "two hundred thirty million, four hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 17 22 23 34 37 44 46 68 74 88 92 136 148 181 184 187 253 296 362 374 391 407 506 629 724 748 782 814 851 1012 1258 1448 1496 1564 1628 1702 1991 2024 2516 3077 3128 3256 3404 3982 4163 4301 5032 6154 6697 6808 6919 7964 8326 8602 9361 12308 13394 13838 14467 15928 16652 17204 18722 24616 26788 27676 28934 33304 33847 34408 37444 45793 53576 55352 57868 67694 70771 73667 74888 91586 113849 115736 135388 141542 147334 154031 159137 183172 227698 270776 283084 294668 308062 318274 366344 455396 566168 589336 616124 636548 778481 910792 1232248 1252339 1273096 1556962 1694341 2504678 2618527 3113924 3388682 5009356 5237054 6227848 6777364 10018712 10474108 13554728 20948216 28803797 57607594 115215188 230430376