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234205400 = 2352111319431
BaseRepresentation
bin11011111010110…
…11000011011000
3121022200212102002
431331123003120
5434424033100
635123500132
75542466402
oct1575330330
9538625362
10234205400
11110225a90
1266527648
13396a24a0
1423167b72
15158642d5
hexdf5b0d8

234205400 has 192 divisors, whose sum is σ = 674956800. Its totient is φ = 74304000.

The previous prime is 234205327. The next prime is 234205427. The reversal of 234205400 is 4502432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543185 + ... + 543615.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2234205400 is an apocalyptic number.

234205400 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 234205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

234205400 is an abundant number, since it is smaller than the sum of its proper divisors (440751400).

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

234205400 is a wasteful number, since it uses less digits than its factorization.

234205400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 234205400 is about 15303.7707771647. The cubic root of 234205400 is about 616.4042646275.

Adding to 234205400 its reverse (4502432), we get a palindrome (238707832).

The spelling of 234205400 in words is "two hundred thirty-four million, two hundred five thousand, four hundred".