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230400 = 2103252
BaseRepresentation
bin111000010000000000
3102201001100
4320100000
524333100
64534400
71646502
oct702000
9381040
10230400
11148115
12b1400
1380b41
145dd72
1548400
hex38400

230400 has 99 divisors (see below), whose sum is σ = 824941. Its totient is φ = 61440.

The previous prime is 230393. The next prime is 230431. The reversal of 230400 is 4032.

230400 = T479 + T480.

The square root of 230400 is 480.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)2 ⋅ (2!)4.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 147456 = 288^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46078 + ... + 46082.

2230400 is an apocalyptic number.

230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230400 is the 480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230400

230400 is an abundant number, since it is smaller than the sum of its proper divisors (594541).

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

230400 is a wasteful number, since it uses less digits than its factorization.

230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The cubic root of 230400 is about 61.3047545915.

Adding to 230400 its reverse (4032), we get a palindrome (234432).

It can be divided in two parts, 230 and 400, that added together give a triangular number (630 = T35).

The spelling of 230400 in words is "two hundred thirty thousand, four hundred".