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234247104 = 263271341109
BaseRepresentation
bin11011111011001…
…01001111000000
3121022202222121200
431331211033000
5434431401404
635124421200
75543032110
oct1575451700
9538688550
10234247104
11110254353
1266547800
13396b8470
1423179040
1515871839
hexdf653c0

234247104 has 336 divisors, whose sum is σ = 854293440. Its totient is φ = 59719680.

The previous prime is 234247099. The next prime is 234247127. The reversal of 234247104 is 401742432.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149002 + ... + 2149110.

It is an arithmetic number, because the mean of its divisors is an integer number (2542540).

Almost surely, 2234247104 is an apocalyptic number.

234247104 is a gapful number since it is divisible by the number (24) 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 234247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427146720).

234247104 is an abundant number, since it is smaller than the sum of its proper divisors (620046336).

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

234247104 is a wasteful number, since it uses less digits than its factorization.

234247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 234247104 is about 15305.1332565254. The cubic root of 234247104 is about 616.4408493202.

Adding to 234247104 its reverse (401742432), we get a palindrome (635989536).

The spelling of 234247104 in words is "two hundred thirty-four million, two hundred forty-seven thousand, one hundred four".