Search a number
-
+
234499000320 = 21133513531231
BaseRepresentation
bin1101101001100100111…
…0101100100000000000
3211102021122020111002000
43122121032230200000
512320223221002240
6255421035224000
722641050420604
oct3323116544000
9742248214060
10234499000320
11904a5632812
12395452a8000
13191617caa30
14b4c7c55504
156177040430
hex36993ac800

234499000320 has 768 divisors, whose sum is σ = 915372057600. Its totient is φ = 56587714560.

The previous prime is 234499000277. The next prime is 234499000339. The reversal of 234499000320 is 23000994432.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190494105 + ... + 190495335.

It is an arithmetic number, because the mean of its divisors is an integer number (1191890700).

Almost surely, 2234499000320 is an apocalyptic number.

234499000320 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 234499000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457686028800).

234499000320 is an abundant number, since it is smaller than the sum of its proper divisors (680873057280).

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

234499000320 is a wasteful number, since it uses less digits than its factorization.

234499000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 234499000320 its reverse (23000994432), we get a palindrome (257499994752).

The spelling of 234499000320 in words is "two hundred thirty-four billion, four hundred ninety-nine million, three hundred twenty", and thus it is an aban number.