Search a number
-
+
234636016 = 24197397109
BaseRepresentation
bin11011111110001…
…00001011110000
3121100111202002211
431333010023300
5440031323031
635141021504
75546242006
oct1577041360
9540452084
10234636016
1111049a56a
12666b4894
13397c34a4
142323aa76
15158ebbb1
hexdfc42f0

234636016 has 80 divisors (see below), whose sum is σ = 494586400. Its totient is φ = 107495424.

The previous prime is 234636007. The next prime is 234636019. The reversal of 234636016 is 610636432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234636019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2152570 + ... + 2152678.

It is an arithmetic number, because the mean of its divisors is an integer number (6182330).

Almost surely, 2234636016 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 234636016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247293200).

234636016 is an abundant number, since it is smaller than the sum of its proper divisors (259950384).

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

234636016 is a wasteful number, since it uses less digits than its factorization.

234636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 234636016 is about 15317.8332671432. The cubic root of 234636016 is about 616.7818121807.

The spelling of 234636016 in words is "two hundred thirty-four million, six hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 73 76 97 109 146 152 194 218 292 304 388 436 584 776 872 1168 1387 1552 1744 1843 2071 2774 3686 4142 5548 7081 7372 7957 8284 10573 11096 14162 14744 15914 16568 21146 22192 28324 29488 31828 33136 42292 56648 63656 84584 113296 127312 134539 151183 169168 200887 269078 302366 401774 538156 604732 771829 803548 1076312 1209464 1543658 1607096 2152624 2418928 3087316 3214192 6174632 12349264 14664751 29329502 58659004 117318008 234636016