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243334368 = 25381961
BaseRepresentation
bin11101000000011…
…11110011100000
3121221212200000000
432200033303200
5444243144433
640051300000
76013210434
oct1640176340
9557780000
10243334368
111153a0792
12695aa600
133b54a744
14244629c4
1516569113
hexe80fce0

243334368 has 216 divisors, whose sum is σ = 768778920. Its totient is φ = 75582720.

The previous prime is 243334363. The next prime is 243334381. The reversal of 243334368 is 863433342.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2433343682 = 118423229299918848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243334363) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3989058 + ... + 3989118.

Almost surely, 2243334368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243334368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384389460).

243334368 is an abundant number, since it is smaller than the sum of its proper divisors (525444552).

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

243334368 is an frugal number, since it uses more digits than its factorization.

243334368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 243334368 is about 15599.1784399051. The cubic root of 243334368 is about 624.3112352705.

The spelling of 243334368 in words is "two hundred forty-three million, three hundred thirty-four thousand, three hundred sixty-eight".