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230401344 = 2631200007
BaseRepresentation
bin11011011101110…
…10010101000000
3121001112121020010
431232322111000
5432440320334
634510144520
75465244015
oct1556722500
9531477203
10230401344
11109067a38
12651b2140
133896cb74
142285770c
15153620e9
hexdbba540

230401344 has 28 divisors (see below), whose sum is σ = 609604064. Its totient is φ = 76800384.

The previous prime is 230401343. The next prime is 230401361. The reversal of 230401344 is 443104032.

230401344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 230401344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230401343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599812 + ... + 600195.

Almost surely, 2230401344 is an apocalyptic number.

230401344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230401344 is an abundant number, since it is smaller than the sum of its proper divisors (379202720).

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

230401344 is a wasteful number, since it uses less digits than its factorization.

230401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200022 (or 1200012 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 230401344 is about 15178.9770406309. The cubic root of 230401344 is about 613.0487379494.

Adding to 230401344 its reverse (443104032), we get a palindrome (673505376).

The spelling of 230401344 in words is "two hundred thirty million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1200007 2400014 3600021 4800028 7200042 9600056 14400084 19200112 28800168 38400224 57600336 76800448 115200672 230401344