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230431744 = 210307733
BaseRepresentation
bin11011011110000…
…01110000000000
3121001121010221001
431233001300000
5432442303434
634510541344
75465431444
oct1557016000
9531533831
10230431744
11109088864
1265207854
133898095a
1422864824
151536b114
hexdbc1c00

230431744 has 44 divisors (see below), whose sum is σ = 462769384. Its totient is φ = 114683904.

The previous prime is 230431723. The next prime is 230431781. The reversal of 230431744 is 447134032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314002 + ... + 314734.

It is an arithmetic number, because the mean of its divisors is an integer number (10517486).

Almost surely, 2230431744 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 230431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231384692).

230431744 is an abundant number, since it is smaller than the sum of its proper divisors (232337640).

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

230431744 is an equidigital number, since it uses as much as digits as its factorization.

230431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 230431744 is about 15179.9783926065. The cubic root of 230431744 is about 613.0756993981.

Adding to 230431744 its reverse (447134032), we get a palindrome (677565776).

The spelling of 230431744 in words is "two hundred thirty million, four hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 307 512 614 733 1024 1228 1466 2456 2932 4912 5864 9824 11728 19648 23456 39296 46912 78592 93824 157184 187648 225031 314368 375296 450062 750592 900124 1800248 3600496 7200992 14401984 28803968 57607936 115215872 230431744