Search a number
-
+
234321040 = 24516717539
BaseRepresentation
bin11011111011101…
…11010010010000
3121022220202001001
431331313102100
5434441233130
635130151344
75543460502
oct1575672220
9538822031
10234321040
111102a4958
1266582554
1339713005
1423197d72
15158886ca
hexdf77490

234321040 has 40 divisors (see below), whose sum is σ = 548089920. Its totient is φ = 93161856.

The previous prime is 234321019. The next prime is 234321049. The reversal of 234321040 is 40123432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 234320999 and 234321017.

It is not an unprimeable number, because it can be changed into a prime (234321049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4591 + ... + 22129.

It is an arithmetic number, because the mean of its divisors is an integer number (13702248).

Almost surely, 2234321040 is an apocalyptic number.

234321040 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 234321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274044960).

234321040 is an abundant number, since it is smaller than the sum of its proper divisors (313768880).

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

234321040 is a wasteful number, since it uses less digits than its factorization.

234321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17719 (or 17713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 234321040 is about 15307.5484647281. The cubic root of 234321040 is about 616.5056987541.

Adding to 234321040 its reverse (40123432), we get a palindrome (274444472).

The spelling of 234321040 in words is "two hundred thirty-four million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 17539 35078 70156 87695 140312 175390 280624 350780 701560 1403120 2929013 5858026 11716052 14645065 23432104 29290130 46864208 58580260 117160520 234321040