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10234400 = 2552111163
BaseRepresentation
bin100111000010…
…101000100000
3201020221221212
4213002220200
510110000100
61003205252
7152663621
oct47025040
921227855
1010234400
115860290
123516828
132174477
141505a48
15d72635
hex9c2a20

10234400 has 72 divisors (see below), whose sum is σ = 27279504. Its totient is φ = 3718400.

The previous prime is 10234351. The next prime is 10234403. The reversal of 10234400 is 443201.

It is not an unprimeable number, because it can be changed into a prime (10234403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8219 + ... + 9381.

It is an arithmetic number, because the mean of its divisors is an integer number (378882).

Almost surely, 210234400 is an apocalyptic number.

10234400 is a gapful number since it is divisible by the number (10) 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 10234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639752).

10234400 is an abundant number, since it is smaller than the sum of its proper divisors (17045104).

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

10234400 is a wasteful number, since it uses less digits than its factorization.

10234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10234400 is about 3199.1248803384. The cubic root of 10234400 is about 217.1138168524.

Adding to 10234400 its reverse (443201), we get a palindrome (10677601).

The spelling of 10234400 in words is "ten million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1163 1760 2200 2326 4400 4652 5815 8800 9304 11630 12793 18608 23260 25586 29075 37216 46520 51172 58150 63965 93040 102344 116300 127930 186080 204688 232600 255860 319825 409376 465200 511720 639650 930400 1023440 1279300 2046880 2558600 5117200 10234400