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4243400 = 235272433
BaseRepresentation
bin10000001011111111001000
321222120211222
4100023333020
52041242100
6230541212
751032300
oct20137710
97876758
104243400
112439147
121507808
13b575b5
147c6600
1558c485
hex40bfc8

4243400 has 72 divisors (see below), whose sum is σ = 11503170. Its totient is φ = 1451520.

The previous prime is 4243397. The next prime is 4243409. The reversal of 4243400 is 43424.

It can be written as a sum of positive squares in 3 ways, for example, as 2244004 + 1999396 = 1498^2 + 1414^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243409) 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 17 ways as a sum of consecutive naturals, for example, 9584 + ... + 10016.

Almost surely, 24243400 is an apocalyptic number.

4243400 is a gapful number since it is divisible by the number (40) 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 4243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751585).

4243400 is an abundant number, since it is smaller than the sum of its proper divisors (7259770).

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

4243400 is a wasteful number, since it uses less digits than its factorization.

4243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4243400 is about 2059.9514557387. The cubic root of 4243400 is about 161.8966978463.

Adding to 4243400 its reverse (43424), we get a palindrome (4286824).

The spelling of 4243400 in words is "four million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 433 490 700 866 980 1225 1400 1732 1960 2165 2450 3031 3464 4330 4900 6062 8660 9800 10825 12124 15155 17320 21217 21650 24248 30310 42434 43300 60620 75775 84868 86600 106085 121240 151550 169736 212170 303100 424340 530425 606200 848680 1060850 2121700 4243400