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243334420 = 22574383487
BaseRepresentation
bin11101000000011…
…11110100010100
3121221212200001221
432200033310110
5444243200140
640051300124
76013210540
oct1640176424
9557780057
10243334420
111153a082a
12695aa644
133b54a784
1424462a20
151656914a
hexe80fd14

243334420 has 96 divisors (see below), whose sum is σ = 606025728. Its totient is φ = 80341632.

The previous prime is 243334417. The next prime is 243334439. The reversal of 243334420 is 24433342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499417 + ... + 499903.

It is an arithmetic number, because the mean of its divisors is an integer number (6312768).

Almost surely, 2243334420 is an apocalyptic number.

243334420 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 243334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303012864).

243334420 is an abundant number, since it is smaller than the sum of its proper divisors (362691308).

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

243334420 is a wasteful number, since it uses less digits than its factorization.

243334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 243334420 is about 15599.1801066595. The cubic root of 243334420 is about 624.3112797418.

Adding to 243334420 its reverse (24433342), we get a palindrome (267767762).

The spelling of 243334420 in words is "two hundred forty-three million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 83 86 140 166 172 215 301 332 415 430 487 581 602 830 860 974 1162 1204 1505 1660 1948 2324 2435 2905 3010 3409 3569 4870 5810 6020 6818 7138 9740 11620 13636 14276 17045 17845 20941 24983 34090 35690 40421 41882 49966 68180 71380 80842 83764 99932 104705 124915 146587 161684 202105 209410 249830 282947 293174 404210 418820 499660 565894 586348 732935 808420 1131788 1414735 1465870 1738103 2829470 2931740 3476206 5658940 6952412 8690515 12166721 17381030 24333442 34762060 48666884 60833605 121667210 243334420