Search a number
-
+
234517248 = 2833737131
BaseRepresentation
bin11011111101001…
…11001100000000
3121100021201012000
431332213030000
5440014022443
635134304000
75545235520
oct1576471400
9540251160
10234517248
11110419309
1266658000
1339781404
1423209680
15158c68d3
hexdfa7300

234517248 has 288 divisors, whose sum is σ = 820216320. Its totient is φ = 64696320.

The previous prime is 234517237. The next prime is 234517273. The reversal of 234517248 is 842715432.

It is a happy number.

234517248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1790143 + ... + 1790273.

Almost surely, 2234517248 is an apocalyptic number.

234517248 is a gapful number since it is divisible by the number (28) 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 234517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410108160).

234517248 is an abundant number, since it is smaller than the sum of its proper divisors (585699072).

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

234517248 is a wasteful number, since it uses less digits than its factorization.

234517248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 234517248 is about 15313.9559879216. The cubic root of 234517248 is about 616.6777271289.

The spelling of 234517248 in words is "two hundred thirty-four million, five hundred seventeen thousand, two hundred forty-eight".