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234400 = 2552293
BaseRepresentation
bin111001001110100000
3102220112111
4321032200
530000100
65005104
71664245
oct711640
9386474
10234400
11150121
12b3794
13828ca
14615cc
15496ba
hex393a0

234400 has 36 divisors (see below), whose sum is σ = 574182. Its totient is φ = 93440.

The previous prime is 234383. The next prime is 234431. The reversal of 234400 is 4432.

It can be written as a sum of positive squares in 3 ways, for example, as 219024 + 15376 = 468^2 + 124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 654 + ... + 946.

2234400 is an apocalyptic number.

234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287091).

234400 is an abundant number, since it is smaller than the sum of its proper divisors (339782).

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

234400 is a wasteful number, since it uses less digits than its factorization.

234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 234400 is about 484.1487374764. The cubic root of 234400 is about 61.6574939688.

Adding to 234400 its reverse (4432), we get a palindrome (238832).

The spelling of 234400 in words is "two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 293 400 586 800 1172 1465 2344 2930 4688 5860 7325 9376 11720 14650 23440 29300 46880 58600 117200 234400