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234423000 = 2332537612
BaseRepresentation
bin11011111100100…
…00001011011000
3121100002220220100
431332100023120
5440003014000
635132255400
75544363660
oct1576201330
9540086810
10234423000
11110364519
1266611560
133974a546
14231c31a0
15158a8a00
hexdf902d8

234423000 has 288 divisors, whose sum is σ = 920630880. Its totient is φ = 52704000.

The previous prime is 234422987. The next prime is 234423001. The reversal of 234423000 is 324432.

234423000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234423001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3842970 + ... + 3843030.

It is an arithmetic number, because the mean of its divisors is an integer number (3196635).

Almost surely, 2234423000 is an apocalyptic number.

234423000 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 234423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460315440).

234423000 is an abundant number, since it is smaller than the sum of its proper divisors (686207880).

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

234423000 is a wasteful number, since it uses less digits than its factorization.

234423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

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

The square root of 234423000 is about 15310.8784855736. The cubic root of 234423000 is about 616.5951057290.

Adding to 234423000 its reverse (324432), we get a palindrome (234747432).

The spelling of 234423000 in words is "two hundred thirty-four million, four hundred twenty-three thousand".