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234034560 = 2732541991
BaseRepresentation
bin11011111001100…
…01010110000000
3121022101012001200
431330301112000
5434403101220
635120101200
75541155334
oct1574612600
9538335050
10234034560
111101196a1
1266464800
13396427b6
14231217c4
151582d890
hexdf31580

234034560 has 192 divisors, whose sum is σ = 828696960. Its totient is φ = 60825600.

The previous prime is 234034511. The next prime is 234034579. The reversal of 234034560 is 65430432.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 235665 + ... + 236655.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2234034560 is an apocalyptic number.

234034560 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 234034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

234034560 is an abundant number, since it is smaller than the sum of its proper divisors (594662400).

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

234034560 is a wasteful number, since it uses less digits than its factorization.

234034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 234034560 is about 15298.1881280105. The cubic root of 234034560 is about 616.2543504638.

Adding to 234034560 its reverse (65430432), we get a palindrome (299464992).

The spelling of 234034560 in words is "two hundred thirty-four million, thirty-four thousand, five hundred sixty".