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234505400 = 23522115557
BaseRepresentation
bin11011111101001…
…00010010111000
3121100021002221012
431332210102320
5440013133100
635134133052
75545156133
oct1576442270
9540232835
10234505400
11110410418
1266651188
1339778bbc
142320521a
15158c3135
hexdfa44b8

234505400 has 48 divisors (see below), whose sum is σ = 547907640. Its totient is φ = 93340800.

The previous prime is 234505399. The next prime is 234505423. The reversal of 234505400 is 4505432.

234505400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39422 + ... + 44978.

Almost surely, 2234505400 is an apocalyptic number.

234505400 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 234505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273953820).

234505400 is an abundant number, since it is smaller than the sum of its proper divisors (313402240).

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

234505400 is a wasteful number, since it uses less digits than its factorization.

234505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 234505400 is about 15313.5691463486. The cubic root of 234505400 is about 616.6673419358.

The spelling of 234505400 in words is "two hundred thirty-four million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 4220 5275 5557 8440 10550 11114 21100 22228 27785 42200 44456 55570 111140 138925 222280 277850 555700 1111400 1172527 2345054 4690108 5862635 9380216 11725270 23450540 29313175 46901080 58626350 117252700 234505400