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234824216 = 23112367661
BaseRepresentation
bin11011111111100…
…10001000011000
3121100212022021012
431333302020120
5440103333331
635145033052
75550654464
oct1577621030
9540768235
10234824216
11110608a00
1266785788
133985b053
14232894a4
151593782b
hexdff2218

234824216 has 48 divisors (see below), whose sum is σ = 486013920. Its totient is φ = 106286400.

The previous prime is 234824207. The next prime is 234824297. The reversal of 234824216 is 612428432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354926 + ... + 355586.

It is an arithmetic number, because the mean of its divisors is an integer number (10125290).

Almost surely, 2234824216 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 234824216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243006960).

234824216 is an abundant number, since it is smaller than the sum of its proper divisors (251189704).

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

234824216 is a wasteful number, since it uses less digits than its factorization.

234824216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 234824216 is about 15323.9752022770. The cubic root of 234824216 is about 616.9466736509.

The spelling of 234824216 in words is "two hundred thirty-four million, eight hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 242 367 484 661 734 968 1322 1468 2644 2936 4037 5288 7271 8074 14542 16148 29084 32296 44407 58168 79981 88814 159962 177628 242587 319924 355256 485174 639848 970348 1940696 2668457 5336914 10673828 21347656 29353027 58706054 117412108 234824216