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243432 = 23337223
BaseRepresentation
bin111011011011101000
3110100221000
4323123220
530242212
65115000
72032500
oct733350
9410830
10243432
11156992
12b8a60
1386a57
1464a00
154c1dc
hex3b6e8

243432 has 96 divisors (see below), whose sum is σ = 820800. Its totient is φ = 66528.

The previous prime is 243431. The next prime is 243433. The reversal of 243432 is 234342.

It is an interprime number because it is at equal distance from previous prime (243431) and next prime (243433).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 4 + 42 + 36 + 311 + 215 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10573 + ... + 10595.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2243432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

243432 is an abundant number, since it is smaller than the sum of its proper divisors (577368).

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

243432 is a wasteful number, since it uses less digits than its factorization.

243432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 243432 is about 493.3882852278. The cubic root of 243432 is about 62.4394720675.

Adding to 243432 its reverse (234342), we get a palindrome (477774).

It can be divided in two parts, 243 and 432, that multiplied together give a 4-th power (104976 = 184).

The spelling of 243432 in words is "two hundred forty-three thousand, four hundred thirty-two".