Search a number
-
+
234464500 = 22532631783
BaseRepresentation
bin11011111100110…
…10010011110100
3121100012000211101
431332122103310
5440010331000
635133215444
75544625654
oct1576322364
9540160741
10234464500
11110392716
1266631584
13397633ba
14231d4364
15158b5e6a
hexdf9a4f4

234464500 has 48 divisors (see below), whose sum is σ = 514305792. Its totient is φ = 93376800.

The previous prime is 234464473. The next prime is 234464519. The reversal of 234464500 is 5464432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130609 + ... + 132391.

It is an arithmetic number, because the mean of its divisors is an integer number (10714704).

Almost surely, 2234464500 is an apocalyptic number.

234464500 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 234464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257152896).

234464500 is an abundant number, since it is smaller than the sum of its proper divisors (279841292).

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

234464500 is a wasteful number, since it uses less digits than its factorization.

234464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 234464500 is about 15312.2336711533. The cubic root of 234464500 is about 616.6314889437.

The spelling of 234464500 in words is "two hundred thirty-four million, four hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 263 500 526 1052 1315 1783 2630 3566 5260 6575 7132 8915 13150 17830 26300 32875 35660 44575 65750 89150 131500 178300 222875 445750 468929 891500 937858 1875716 2344645 4689290 9378580 11723225 23446450 46892900 58616125 117232250 234464500