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230541344 = 25111076121
BaseRepresentation
bin11011011110111…
…00100000100000
3121001210201021022
431233130200200
5433004310334
634513145012
75466366125
oct1557344040
9531721238
10230541344
11109153140
126525b168
13389bb7c7
142289274c
151538d82e
hexdbdc820

230541344 has 48 divisors (see below), whose sum is σ = 499849056. Its totient is φ = 103795200.

The previous prime is 230541341. The next prime is 230541347. The reversal of 230541344 is 443145032.

230541344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230541341) and next prime (230541347).

It is a super-2 number, since 2×2305413442 = 106298622586652672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230541341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34604 + ... + 40724.

It is an arithmetic number, because the mean of its divisors is an integer number (10413522).

Almost surely, 2230541344 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 230541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249924528).

230541344 is an abundant number, since it is smaller than the sum of its proper divisors (269307712).

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

230541344 is a wasteful number, since it uses less digits than its factorization.

230541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 230541344 is about 15183.5879817650. The cubic root of 230541344 is about 613.1728828349.

Adding to 230541344 its reverse (443145032), we get a palindrome (673686376).

The spelling of 230541344 in words is "two hundred thirty million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 4708 6121 9416 12242 18832 24484 37664 48968 67331 97936 134662 195872 269324 538648 654947 1077296 1309894 2154592 2619788 5239576 7204417 10479152 14408834 20958304 28817668 57635336 115270672 230541344